Bootstrap and Fast Double Bootstrap Tests of Cointegration Rank with Financial Time Series

The likelihood ratio test of cointegration rank is the most widely used test for cointegration. Many studies have shown that its finite sample distribution is not well approximated by the limiting distribution. The article introduces and evaluates by Monte Carlo simulation experiments bootstrap and fast double bootstrap (FDB) algorithms for the likelihood ratio test. It finds that the performance of the bootstrap test is very good. The more sophisticated FDB produces a further improvement in cases where the performance of the asymptotic test is very unsatisfactory and the ordinary bootstrap does not work as well as it might. Furthermore, the Monte Carlo simulations provide a number of guidelines on when the bootstrap and FDB tests can be expected to work well. Finally, the tests are applied to US interest rates and international stock prices series. It is found that the asymptotic test tends to overestimate the cointegration rank, while the bootstrap and FDB tests choose the correct cointegration rank.

The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series

Bootstrap likelihood ratio tests of cointegration rank are commonly used because they tend to have rejection probabilities that are closer to the nominal level than the rejection probabilities of the correspond- ing asymptotic tests. The e¤ect of bootstrapping the test on its power is largely unknown. We show that a new computationally inexpensive procedure can be applied to the estimation of the power function of the bootstrap test of cointegration rank. The bootstrap test is found to have a power function close to that of the level-adjusted asymp- totic test. The bootstrap test estimates the level-adjusted power of the asymptotic test highly accurately. The bootstrap test may have low power to reject the null hypothesis of cointegration rank zero, or underestimate the cointegration rank. An empirical application to Euribor interest rates is provided as an illustration of the findings.

Podocyte molecules in the pancreas and lymphoid tissues and their association to autoimmunity of diabetes

Type 1 diabetes is a disease where the insulin-producing beta cells of the pancreas are destroyed by an autoimmune mechanism. The incidence of type 1 diabetes, as well as the incidence of the diabetic kidney complication, diabetic nephropathy, are increasing worldwide. Nephrin is a crucial molecule for the filtration function of the kidney. It localises in the podocyte foot processes partially forming the interpodocyte final sieve of the filtration barrier, the slit diaphragm. The expression of nephrin is altered in diabetic nephropathy. Recently, nephrin was found from the beta cells of the pancreas as well, which makes this molecule interesting in the context of type 1 diabetes and especially in diabetic nephropathy. In this thesis work, the expression of other podocyte molecules in the beta cells of the pancreas, in addition to nephrin, were deciphered. It was also hypothesised that patients with type 1 diabetes may develop autoantibodies against novel beta cell molecules comparably to the formation of autoantibodies to GAD, IA-2 and insulin. The possible association of such novel autoantibodies with the pathogenesis of diabetic nephropathy was also assessed. Furthermore, expression of nephrin in lymphoid tissues has been suggested, and this issue was more thoroughly deciphered here. The expression of nephrin in the human lymphoid tissues, and a set of podocyte molecules in the human, mouse and rat pancreas at the gene and protein level were studied by polymerase chain reaction (PCR) -based methods and immunochemical methods. To detect autoantibodies to novel beta cell molecules, specific radioimmunoprecipitation assays were developed. These assays were used to screen a follow-up material of 66 patients with type 1 diabetes and a patient material of 150 diabetic patients with signs of diabetic nephropathy. Nephrin expression was detected in the lymphoid follicle germinal centres, specifically in the follicular dendritic cells. In addition to the previously reported expression of nephrin in the pancreas, expression of the podocyte molecules, densin, filtrin, FAT and alpha-actinin-4 were detected in the beta cells. Circulating antibodies to nephrin, densin and filtrin were discovered in a subset of patients with type 1 diabetes. However, no association of these autoantibodies with the pathogenesis of diabetic nephropathy was detected. In conclusion, the expression of five podocyte molecules in the beta cells of the pancreas suggests some molecular similarities between the two cell types. The novel autoantibodies against shared molecules of the kidney podocytes and the pancreatic beta cells appear to be part of the common autoimmune mechanism in patients with type 1 diabetes. No data suggested that the autoantibodies would be active participants of the kidney injury detected in diabetic nephropathy.

Studies on Binary Time Series Models with Applications to Empirical Macroeconomics and Finance

This thesis studies binary time series models and their applications in empirical macroeconomics and finance. In addition to previously suggested models, new dynamic extensions are proposed to the static probit model commonly used in the previous literature. In particular, we are interested in probit models with an autoregressive model structure. In Chapter 2, the main objective is to compare the predictive performance of the static and dynamic probit models in forecasting the U.S. and German business cycle recession periods. Financial variables, such as interest rates and stock market returns, are used as predictive variables. The empirical results suggest that the recession periods are predictable and dynamic probit models, especially models with the autoregressive structure, outperform the static model. Chapter 3 proposes a Lagrange Multiplier (LM) test for the usefulness of the autoregressive structure of the probit model. The finite sample properties of the LM test are considered with simulation experiments. Results indicate that the two alternative LM test statistics have reasonable size and power in large samples. In small samples, a parametric bootstrap method is suggested to obtain approximately correct size. In Chapter 4, the predictive power of dynamic probit models in predicting the direction of stock market returns are examined. The novel idea is to use recession forecast (see Chapter 2) as a predictor of the stock return sign. The evidence suggests that the signs of the U.S. excess stock returns over the risk-free return are predictable both in and out of sample. The new "error correction" probit model yields the best forecasts and it also outperforms other predictive models, such as ARMAX models, in terms of statistical and economic goodness-of-fit measures. Chapter 5 generalizes the analysis of univariate models considered in Chapters 2 4 to the case of a bivariate model. A new bivariate autoregressive probit model is applied to predict the current state of the U.S. business cycle and growth rate cycle periods. Evidence of predictability of both cycle indicators is obtained and the bivariate model is found to outperform the univariate models in terms of predictive power.

Topics in Spatial Econometrics - With Applications to House Prices

Topics in Spatial Econometrics — With Applications to House Prices Spatial effects in data occur when geographical closeness of observations influences the relation between the observations. When two points on a map are close to each other, the observed values on a variable at those points tend to be similar. The further away the two points are from each other, the less similar the observed values tend to be. Recent technical developments, geographical information systems (GIS) and global positioning systems (GPS) have brought about a renewed interest in spatial matters. For instance, it is possible to observe the exact location of an observation and combine it with other characteristics. Spatial econometrics integrates spatial aspects into econometric models and analysis. The thesis concentrates mainly on methodological issues, but the findings are illustrated by empirical studies on house price data. The thesis consists of an introductory chapter and four essays. The introductory chapter presents an overview of topics and problems in spatial econometrics. It discusses spatial effects, spatial weights matrices, especially k-nearest neighbours weights matrices, and various spatial econometric models, as well as estimation methods and inference. Further, the problem of omitted variables, a few computational and empirical aspects, the bootstrap procedure and the spatial J-test are presented. In addition, a discussion on hedonic house price models is included. In the first essay a comparison is made between spatial econometrics and time series analysis. By restricting the attention to unilateral spatial autoregressive processes, it is shown that a unilateral spatial autoregression, which enjoys similar properties as an autoregression with time series, can be defined. By an empirical study on house price data the second essay shows that it is possible to form coordinate-based, spatially autoregressive variables, which are at least to some extent able to replace the spatial structure in a spatial econometric model. In the third essay a strategy for specifying a k-nearest neighbours weights matrix by applying the spatial J-test is suggested, studied and demonstrated. In the final fourth essay the properties of the asymptotic spatial J-test are further examined. A simulation study shows that the spatial J-test can be used for distinguishing between general spatial models with different k-nearest neighbours weights matrices. A bootstrap spatial J-test is suggested to correct the size of the asymptotic test in small samples.

Inference on Cointegration in Vector Autoregressive Models (summary section only)

In the thesis we consider inference for cointegration in vector autoregressive (VAR) models. The thesis consists of an introduction and four papers. The first paper proposes a new test for cointegration in VAR models that is directly based on the eigenvalues of the least squares (LS) estimate of the autoregressive matrix. In the second paper we compare a small sample correction for the likelihood ratio (LR) test of cointegrating rank and the bootstrap. The simulation experiments show that the bootstrap works very well in practice and dominates the correction factor. The tests are applied to international stock prices data, and the .nite sample performance of the tests are investigated by simulating the data. The third paper studies the demand for money in Sweden 1970—2000 using the I(2) model. In the fourth paper we re-examine the evidence of cointegration between international stock prices. The paper shows that some of the previous empirical results can be explained by the small-sample bias and size distortion of Johansen’s LR tests for cointegration. In all papers we work with two data sets. The first data set is a Swedish money demand data set with observations on the money stock, the consumer price index, gross domestic product (GDP), the short-term interest rate and the long-term interest rate. The data are quarterly and the sample period is 1970(1)—2000(1). The second data set consists of month-end stock market index observations for Finland, France, Germany, Sweden, the United Kingdom and the United States from 1980(1) to 1997(2). Both data sets are typical of the sample sizes encountered in economic data, and the applications illustrate the usefulness of the models and tests discussed in the thesis.

Bootstrapping the Error Correction Model Cointegration Test

This paper is concerned with using the bootstrap to obtain improved critical values for the error correction model (ECM) cointegration test in dynamic models. In the paper we investigate the effects of dynamic specification on the size and power of the ECM cointegration test with bootstrap critical values. The results from a Monte Carlo study show that the size of the bootstrap ECM cointegration test is close to the nominal significance level. We find that overspecification of the lag length results in a loss of power. Underspecification of the lag length results in size distortion. The performance of the bootstrap ECM cointegration test deteriorates if the correct lag length is not used in the ECM. The bootstrap ECM cointegration test is therefore not robust to model misspecification.

Categorical Meteorological Products: Evaluation and Analysis

In meteorology, observations and forecasts of a wide range of phenomena for example, snow, clouds, hail, fog, and tornados can be categorical, that is, they can only have discrete values (e.g., "snow" and "no snow"). Concentrating on satellite-based snow and cloud analyses, this thesis explores methods that have been developed for evaluation of categorical products and analyses. Different algorithms for satellite products generate different results; sometimes the differences are subtle, sometimes all too visible. In addition to differences between algorithms, the satellite products are influenced by physical processes and conditions, such as diurnal and seasonal variation in solar radiation, topography, and land use. The analysis of satellite-based snow cover analyses from NOAA, NASA, and EUMETSAT, and snow analyses for numerical weather prediction models from FMI and ECMWF was complicated by the fact that we did not have the true knowledge of snow extent, and we were forced simply to measure the agreement between different products. The Sammon mapping, a multidimensional scaling method, was then used to visualize the differences between different products. The trustworthiness of the results for cloud analyses [EUMETSAT Meteorological Products Extraction Facility cloud mask (MPEF), together with the Nowcasting Satellite Application Facility (SAFNWC) cloud masks provided by Météo-France (SAFNWC/MSG) and the Swedish Meteorological and Hydrological Institute (SAFNWC/PPS)] compared with ceilometers of the Helsinki Testbed was estimated by constructing confidence intervals (CIs). Bootstrapping, a statistical resampling method, was used to construct CIs, especially in the presence of spatial and temporal correlation. The reference data for validation are constantly in short supply. In general, the needs of a particular project drive the requirements for evaluation, for example, for the accuracy and the timeliness of the particular data and methods. In this vein, we discuss tentatively how data provided by general public, e.g., photos shared on the Internet photo-sharing service Flickr, can be used as a new source for validation. Results show that they are of reasonable quality and their use for case studies can be warmly recommended. Last, the use of cluster analysis on meteorological in-situ measurements was explored. The Autoclass algorithm was used to construct compact representations of synoptic conditions of fog at Finnish airports.

Otoksen edustavuuden mittaus R-indikaattorin avulla Suomen uhritutkimuspilotissa

Tutkielmassa sovelletaan aineiston edustavuutta mittaavaa laatuindikaattoria Suomen uhritutkimuspilottiin tilanteessa, jossa ilmenee vastauskatoa. Vastauskato on kasvava ongelma tilastotutkimuksissa: jos tutkimukseen osallistuneet eivät edusta otosjoukkoa tutkittavan asian suhteen, voi vastauskadosta aiheutuva harha olla estimoiduissa tunnusluvuissa hyvinkin suuri. Tutkimuksissa näkee usein julkaistavan vastausasteen ikään kuin se kertoisi aukottomasti tutkimuksen laadusta. Pelkkä korkea vastausaste ei kuitenkaan välttämättä takaa estimaattien harhattomuutta, sillä se ei kerro mitään vastanneiden ja vastaamattomien eroista tutkittavan asian suhteen. Tarvitaan siis muita mittareita, joilla vastanneiden laatua voitaisiin paremmin arvioida, ja R-indikaattori tarjoaa yhden vaihtoehdon. R-indikaattori mittaa otosalkioiden vastausalttiuksien välistä vaihtelua. R-indikaattorin estimoiminen edellyttää siis vastausalttiuksien estimointia, mikä puolestaan edellyttää apumuuttujien olemassaoloa kaikille otosalkioille. Vastausalttiuksien estimoimiseen käytettiin linkkifunktiona sekä logistista mallia että ja Särndalin ja Lundströmin (2008) vastausvaikutusten mallia. Vastauskäyttäytymiseen vaikuttavan apumuuttujajoukon valinta tehtiin alan kirjallisuuteen perustuen (Groves & Couper 1998). Koska R-indikaattorin estimaattori on satunnaismuuttuja, täytyi sille estimoida varianssi ja mahdollinen harha (Shlomo ym. 2009). Estimoinnissa käytettiin Bootstrap-pseudotoistomenetelmää, jossa alkuperäisestä aineistosta poimitaan niin kutsuttuja pseudo-otoksia, joiden avulla R-indikaattorin estimaattorille voidaan laskea keskivirhe. Suomen uhritutkimuspilotti koostui kolmesta eri tiedonkeruumenetelmällä poimitusta otoksesta: CAPI-, CATI- CAVVIotoksesta. Vastausasteet vaihtelivat aineistoissa paljon, mutta R-indikaattorin estimaatit olivat kaikille aineistoille liki samat. Suurempi vastausaste ei siis merkinnyt parempaa edustavuutta. Lisäksi CAVVI-aineistossa muistutusviestein ja -kirjein suoritettu vastausasteen kasvattaminen huononsi edustavuutta R-indikaattorin näkökulmasta. Mielivaltainen vastausasteen kasvattaminen ei siis ole välttämättä perusteltua. R-indikaattorin estimaattorin ominaisuuksien osalta empiiriset tulokset vahvistivat RISQ-projektin aiempia tutkimustuloksia. Estimaattorin arvo oli sitä pienempi mitä enemmän vastausalttiuden mallissa oli selittäjiä, koska tällöin vastausalttiuksien varianssi kasvoi (Schouten ym. 2009). Otoskoko vaikutti merkittävästi varianssin suuruuteen: mitä pienempi otoskoko oli, sitä leveämmät olivat luottamusvälit ja sitä vaikeampi oli tehdä johtopäätöksiä edustavuudesta.

Microfinance, Efficiency and Agricultural Production in Bangladesh

The objectives of this study were to make a detailed and systematic empirical analysis of microfinance borrowers and non-borrowers in Bangladesh and also examine how efficiency measures are influenced by the access to agricultural microfinance. In the empirical analysis, this study used both parametric and non-parametric frontier approaches to investigate differences in efficiency estimates between microfinance borrowers and non-borrowers. This thesis, based on five articles, applied data obtained from a survey of 360 farm households from north-central and north-western regions in Bangladesh. The methods used in this investigation involve stochastic frontier (SFA) and data envelopment analysis (DEA) in addition to sample selectivity and limited dependent variable models. In article I, technical efficiency (TE) estimation and identification of its determinants were performed by applying an extended Cobb-Douglas stochastic frontier production function. The results show that farm households had a mean TE of 83% with lower TE scores for the non-borrowers of agricultural microfinance. Addressing institutional policies regarding the consolidation of individual plots into farm units, ensuring access to microfinance, extension education for the farmers with longer farming experience are suggested to improve the TE of the farmers. In article II, the objective was to assess the effects of access to microfinance on household production and cost efficiency (CE) and to determine the efficiency differences between the microfinance participating and non-participating farms. In addition, a non-discretionary DEA model was applied to capture directly the influence of microfinance on farm households production and CE. The results suggested that under both pooled DEA models and non-discretionary DEA models, farmers with access to microfinance were significantly more efficient than their non-borrowing counterparts. Results also revealed that land fragmentation, family size, household wealth, on farm-training and off farm income share are the main determinants of inefficiency after effectively correcting for sample selection bias. In article III, the TE of traditional variety (TV) and high-yielding-variety (HYV) rice producers were estimated in addition to investigating the determinants of adoption rate of HYV rice. Furthermore, the role of TE as a potential determinant to explain the differences of adoption rate of HYV rice among the farmers was assessed. The results indicated that in spite of its much higher yield potential, HYV rice production was associated with lower TE and had a greater variability in yield. It was also found that TE had a significant positive influence on the adoption rates of HYV rice. In article IV, we estimated profit efficiency (PE) and profit-loss between microfinance borrowers and non-borrowers by a sample selection framework, which provided a general framework for testing and taking into account the sample selection in the stochastic (profit) frontier function analysis. After effectively correcting for selectivity bias, the mean PE of the microfinance borrowers and non-borrowers were estimated at 68% and 52% respectively. This suggested that a considerable share of profits were lost due to profit inefficiencies in rice production. The results also demonstrated that access to microfinance contributes significantly to increasing PE and reducing profit-loss per hectare land. In article V, the effects of credit constraints on TE, allocative efficiency (AE) and CE were assessed while adequately controlling for sample selection bias. The confidence intervals were determined by the bootstrap method for both samples. The results indicated that differences in average efficiency scores of credit constrained and unconstrained farms were not statistically significant although the average efficiencies tended to be higher in the group of unconstrained farms. After effectively correcting for selectivity bias, household experience, number of dependents, off-farm income, farm size, access to on farm training and yearly savings were found to be the main determinants of inefficiencies. In general, the results of the study revealed the existence substantial technical, allocative, economic inefficiencies and also considerable profit inefficiencies. The results of the study suggested the need to streamline agricultural microfinance by the microfinance institutions (MFIs), donor agencies and government at all tiers. Moreover, formulating policies that ensure greater access to agricultural microfinance to the smallholder farmers on a sustainable basis in the study areas to enhance productivity and efficiency has been recommended. Key Words: Technical, allocative, economic efficiency, DEA, Non-discretionary DEA, selection bias, bootstrapping, microfinance, Bangladesh.