A simple relation between the Leimkuhler curve and the mean residual life

In this paper, a simple relation between the Leimkuhler curve and the mean residual life is established. The result is illustrated with several models commonly used in informetrics, such as exponential, Pareto and lognormal. Finally, relationships with some other reliability concepts are also presented. (C) 2010 Elsevier Ltd. All rights reserved.

Association between mean residual life (MRL) and failure rate functions for continuous and discrete lifetime distributions

The purpose of this study was to correct some mistakes in the literature and derive a necessary and sufficient condition for the MRL to follow the roller-coaster pattern of the corresponding failure rate function. It was also desired to find the conditions under which the discrete failure rate function has an upside-down bathtub shape if corresponding MRL function has a bathtub shape. The study showed that if discrete MRL has a bathtub shape, then under some conditions the corresponding failure rate function has an upside-down bathtub shape. Also the study corrected some mistakes in proofs of Tang, Lu and Chew (1999) and established a necessary and sufficient condition for the MRL to follow the roller-coaster pattern of the corresponding failure rate function. Similarly, some mistakes in Gupta and Gupta (2000) are corrected, with the ensuing results being expanded and proved thoroughly to establish the relationship between the crossing points of the failure rate and associated MRL functions. The new results derived in this study will be useful to model various lifetime data that occur in environmental studies, medical research, electronics engineering, and in many other areas of science and technology.

Characterization of Probability Distributions Using the Residual Entropy Function

The present study on the characterization of probability distributions using the residual entropy function. The concept of entropy is extensively used in literature as a quantitative measure of uncertainty associated with a random phenomenon. The commonly used life time models in reliability Theory are exponential distribution, Pareto distribution, Beta distribution, Weibull distribution and gamma distribution. Several characterization theorems are obtained for the above models using reliability concepts such as failure rate, mean residual life function, vitality function, variance residual life function etc. Most of the works on characterization of distributions in the reliability context centers around the failure rate or the residual life function. The important aspect of interest in the study of entropy is that of locating distributions for which the shannon’s entropy is maximum subject to certain restrictions on the underlying random variable. The geometric vitality function and examine its properties. It is established that the geometric vitality function determines the distribution uniquely. The problem of averaging the residual entropy function is examined, and also the truncated form version of entropies of higher order are defined. In this study it is established that the residual entropy function determines the distribution uniquely and that the constancy of the same is characteristics to the geometric distribution

Identification of models using failure rate and mean residual life of doubly truncated random variables

In this paper, we study the relationship between the failure rate and the mean residual life of doubly truncated random variables. Accordingly, we develop characterizations for exponential, Pareto 11 and beta distributions. Further, we generalize the identities for fire Pearson and the exponential family of distributions given respectively in Nair and Sankaran (1991) and Consul (1995). Applications of these measures in file context of lengthbiased models are also explored

Regression models for bivariate survival data

Multivariate lifetime data arise in various forms including recurrent event data when individuals are followed to observe the sequence of occurrences of a certain type of event; correlated lifetime when an individual is followed for the occurrence of two or more types of events, or when distinct individuals have dependent event times. In most studies there are covariates such as treatments, group indicators, individual characteristics, or environmental conditions, whose relationship to lifetime is of interest. This leads to a consideration of regression models.The well known Cox proportional hazards model and its variations, using the marginal hazard functions employed for the analysis of multivariate survival data in literature are not sufficient to explain the complete dependence structure of pair of lifetimes on the covariate vector. Motivated by this, in Chapter 2, we introduced a bivariate proportional hazards model using vector hazard function of Johnson and Kotz (1975), in which the covariates under study have different effect on two components of the vector hazard function. The proposed model is useful in real life situations to study the dependence structure of pair of lifetimes on the covariate vector . The well known partial likelihood approach is used for the estimation of parameter vectors. We then introduced a bivariate proportional hazards model for gap times of recurrent events in Chapter 3. The model incorporates both marginal and joint dependence of the distribution of gap times on the covariate vector . In many fields of application, mean residual life function is considered superior concept than the hazard function. Motivated by this, in Chapter 4, we considered a new semi-parametric model, bivariate proportional mean residual life time model, to assess the relationship between mean residual life and covariates for gap time of recurrent events. The counting process approach is used for the inference procedures of the gap time of recurrent events. In many survival studies, the distribution of lifetime may depend on the distribution of censoring time. In Chapter 5, we introduced a proportional hazards model for duration times and developed inference procedures under dependent (informative) censoring. In Chapter 6, we introduced a bivariate proportional hazards model for competing risks data under right censoring. The asymptotic properties of the estimators of the parameters of different models developed in previous chapters, were studied. The proposed models were applied to various real life situations.

Characterizations of some continuous distributions using partial moments

Inthis paper,we define partial moments for a univariate continuous random variable. A recurrence relationship for the Pearson curve using the partial moments is established. The interrelationship between the partial moments and other reliability measures such as failure rate, mean residual life function are proved. We also prove some characterization theorems using the partial moments in the context of length biased models and equilibrium distributions

Reliability studies of the skew normal distribution

It has been observed in various practical applications that data do not conform to the normal distribution, which is symmetric with no skewness. The skew normal distribution proposed by Azzalini(1985) is appropriate for the analysis of data which is unimodal but exhibits some skewness. The skew normal distribution includes the normal distribution as a special case where the skewness parameter is zero. In this thesis, we study the structural properties of the skew normal distribution, with an emphasis on the reliability properties of the model. More specifically, we obtain the failure rate, the mean residual life function, and the reliability function of a skew normal random variable. We also compare it with the normal distribution with respect to certain stochastic orderings. Appropriate machinery is developed to obtain the reliability of a component when the strength and stress follow the skew normal distribution. Finally, IQ score data from Roberts (1988) is analyzed to illustrate the procedure.

Residuelle Lungenfunktionsveränderungen nach "Adult Respiratory Distress Syndrome" (ARDS) bei Kindern [Residual lung function changes following adult respiratory distress syndrome (ARDS) in children]

Residual lung function abnormalities have been investigated in 9 children (4 boys and 5 girls) a mean 2.7 years after surviving severe adult respiratory distress syndrome (ARDS). All patients had been artificially ventilated for an average of 9.4 days with a FiO2 greater than 0.5 for 34 hours and maximal PEEP levels in the range of 8-20 cm H2O. Since the ARDS, 3 children had presented recurrent respiratory symptoms (moderate exertional dyspnea and cough) and 2 had had evidence of fibrosis on chest radiographs. In all patients abnormal lung functions were found, i.e. ventilation inequalities (8), hypoxemia (7), and obstructive (2) and restrictive (1) lung disease. A significant correlation between respirator therapy and residual lung function was found (duration of FiO2 greater than 0.5 in hours and inspiratory plateau pressure during respirator therapy vs. ventilation inequalities and hypoxemia).

Some concepts and models usefulninthe analysis of discrete life time data

This thesis entitled Reliability Modelling and Analysis in Discrete time Some Concepts and Models Useful in the Analysis of discrete life time data.The present study consists of five chapters. In Chapter II we take up the derivation of some general results useful in reliability modelling that involves two component mixtures. Expression for the failure rate, mean residual life and second moment of residual life of the mixture distributions in terms of the corresponding quantities in the component distributions are investigated. Some applications of these results are also pointed out. The role of the geometric,Waring and negative hypergeometric distributions as models of life lengths in the discrete time domain has been discussed already. While describing various reliability characteristics, it was found that they can be often considered as a class. The applicability of these models in single populations naturally extends to the case of populations composed of sub-populations making mixtures of these distributions worth investigating. Accordingly the general properties, various reliability characteristics and characterizations of these models are discussed in chapter III. Inference of parameters in mixture distribution is usually a difficult problem because the mass function of the mixture is a linear function of the component masses that makes manipulation of the likelihood equations, leastsquare function etc and the resulting computations.very difficult. We show that one of our characterizations help in inferring the parameters of the geometric mixture without involving computational hazards. As mentioned in the review of results in the previous sections, partial moments were not studied extensively in literature especially in the case of discrete distributions. Chapters IV and V deal with descending and ascending partial factorial moments. Apart from studying their properties, we prove characterizations of distributions by functional forms of partial moments and establish recurrence relations between successive moments for some well known families. It is further demonstrated that partial moments are equally efficient and convenient compared to many of the conventional tools to resolve practical problems in reliability modelling and analysis. The study concludes by indicating some new problems that surfaced during the course of the present investigation which could be the subject for a future work in this area.

Role of the REST/RE-1 system in beta-cell life, function and differentiation

SUMMARYDiabetes is characterized by insulin deficiency that results from the destruction of insulin-secreting pancreatic beta-cells (Type 1), or in part from beta-cell death and insulin secretion defects (Type 2). Therefore, understanding the mechanisms of beta cell neogenesis (to generate unlimited supply of beta cells for T1D transplantation] or identifying the specific genes that favors insulin secretion or beta-cell survival is of great importance for the management of diabetes. The transcriptional repressor RE-1 Silencing Transcription Factor (REST) restricts the expression of a large number of genes containing its binding element, called Repressor Element-1 (RE-1), to neurons and beta cells. To do so, REST is ubiquitously expressed but in neurons and beta cells. To identify these essential genes and their functional significance in beta cells, we have generated transgenic mice that express REST specifically in beta cells under the control of the rat insulin promoter (RIP-REST mice). This resulted in the repression of the RE-1- containing genes in beta cells, and we analyzed the consequences.We first showed that RIP-REST mice were glucose-intolerant because of a defective insulin secretion. To explain this defect, we identified that a subset of the REST target genes were necessary for insulin exocytosis, such as Snap25, Synaptotagmin (Syt) IX, Complexin II, and Ica512, and we further demonstrated that among the identified REST targets, Syt IV and VII were also involved in insulin release. We next analyzed a novel RIP-REST mouse line that featured diabetes and we showed that this defect was due to a major loss of beta-cell mass. To explain this phenotype, we identified REST target genes that were involved in beta-cell survival, such as Ibl, Irs2, Ica512 and Connexin36, and revealed that another REST target, Cdk5r2 is also involved in beta-cell protection. In a third part, we finally suggest that REST may be important for pancreatic endocrine differentiation, since transgenic mice expressing constitutive REST in pancreatic multipotent progenitors show impaired formation of Ngn3-expressing endocrine- committed precursors, and impaired formation of differentiated endocrine cells. Mapping the pattern of REST expression in wild type animals indicates that it is expressed in multipotent progenitors to become then excluded from endocrine cells. Preliminary results suggest that a downregulation of REST would result in relieved expression of at least the Mytl target, favoring subsequent acquisition of the endocrine competence by endocrine precursor cells.Thus, we propose that the REST/RE-1 system is an important feature for beta-cell neogenesis, function and survivalRESUMELe diabète se caractérise par une déficience en insuline qui résulte d'une destruction des cellules bêta (β) pancréatiques sécrétant l'insuline [Type 1], ou à un défaut de sécrétion d'insuline qui peut être associé à la mort des cellules β (Type 2). La compréhension des mécanismes de néogenèse des cellules β, ainsi que l'identification de gènes impliqués dans leur survie et dans le contrôle de la sécrétion d'insuline est donc importante pour le traitement du diabète. Le facteur de transcription de type répresseur, RE-1 Silencing Transcription Factor [REST], contribue à la spécificité d'expression dans les neurones et les cellules β, d'un grand nombre de gènes portant son motif de fixation, le Repressor Element-1 (RE-1). Pour cela, REST est exprimé dans toutes les cellules, sauf dans les neurones et les cellules β. Afin d'identifier les gènes cibles de REST ainsi que leur fonction au sein de la cellule β, nous avons généré des souris transgéniques qui expriment REST spécifiquement dans ces cellules, sous la dépendance du promoteur de l'insuline (souris RIP-REST]. Cette expression ectopique de REST a permis de diminuer l'expression des gènes contrôlés par REST, et d'en analyser les conséquences. Nous avons montré que les souris RIP-REST étaient intolérantes au glucose et que ceci était du à un défaut de sécrétion d'insuline. Pour expliquer ce phénotype, nous avons mis en évidence le fait que des gènes cibles de REST codent pour des protéines importantes pour l'exocytose de l'insuline, comme SNAP25, Synaptotagmin (Syt) IX, Complexin II ou ICA512. De plus, nous avons découvert deux nouvelles cibles de REST impliquées dans la sécrétion d'insuline, Syt IV et Syt VII. Par la suite, nous avons démontré qu'une nouvelle lignée de souris RIP-REST étaient atteintes d'un diabète sévère à cause d'une perte massive des cellules β. La disparition de ces cellules a été expliquée par l'identification de gènes cibles de REST impliqués dans la survie des cellules β, comme Ibl, Irs2, Ica512 ou la Connexine36. De plus, nous avons découvert qu'une nouvelle cible, Cdk5r2, était aussi impliquée dans la survie des cellules β. Dans une dernière partie, nous suggérons, grâce à l'analyse de nouvelles souris transgéniques exprimant constitutivement REST dans les cellules progénitrices du pancréas embryonnaire, que REST empêche la formation des précurseurs de cellules endocrines ainsi que la différenciation de ces cellules. L'analyse de l'expression de REST au cours du développement embryonnaire du pancréas indique que la diminution de l'expression de REST conduit en partie, à l'induction d'un de ses gènes cible Mytl, qui favorise la formation de précurseurs endocrines. Nous proposons donc que le système REST/RE-1 est important pour la génération, la fonction et la survie des cellules β.

Residual ß-cell function and microvascular complications in type 1 diabetic patients

To determine the influence of residual ß-cell function on retinopathy and microalbuminuria we measured basal C-peptide in 50 type 1 diabetic outpatients aged 24.96 ± 7.14 years, with a duration of diabetes of 9.1 ± 6.2 years. Forty-three patients (86%) with low C-peptide (<0.74 ng/ml) had longer duration of diabetes than 7 patients (14%) with high C-peptide (³0.74 ng/ml) (9 (2-34) vs 3 (1-10) years, P = 0.01) and a tendency to high glycated hemoglobin (HBA1) (8.8 (6-17.9) vs 7.7 (6.9-8.7)%, P = 0.08). Nine patients (18%) had microalbuminuria (two out of three overnight urine samples with an albumin excretion rate (AER) ³20 and <200 µg/min) and 13 (26%) had background retinopathy. No association was found between low C-peptide, microalbuminuria and retinopathy and no difference in basal C-peptide was observed between microalbuminuric and normoalbuminuric patients (0.4 ± 0.5 vs 0.19 ± 0.22 ng/ml, P = 0.61) and between patients with or without retinopathy (0.4 ± 0.6 vs 0.2 ± 0.3 ng/ml, P = 0.43). Multiple regression analysis showed that duration of diabetes (r = 0.30, r2 = 0.09, P = 0.031) followed by HBA1 (r = 0.41, r2 = 0.17, P = 0.01) influenced basal C-peptide, and this duration of diabetes was the only variable affecting AER (r = 0.40, r2 = 0.16, P = 0.004). In our sample of type 1 diabetic patients residual ß-cell function was not associated with microalbuminuria or retinopathy.

Plastic films for polytunnels can prolong the effective residual life of cypermethrin to over 6 months

Synthetic pyrethroid insecticides are degraded almost entirely by ultraviolet (UV)-catalysed oxidation. A bioassay using the beetle Tribolium confusum duVal caged on bandages soaked in 0.04% a.i. cypermethrin showed large differences in residual insecticide-life under three plastic films available for cladding polytunnels. Cypermethrin exposed to a UV film that transmitted 70% of UVB and 80% of UVA killed all beetles for 8 weeks, compared to only 3 weeks for cypermethrin exposed in a clear plastic envelope. Cypermethrin under a UV-absorbing film that reduced the transmission of UVB and UVA to 14% and 50%, respectively, gave a complete kill for 17 weeks. Reducing the transmission of UVB to virtually zero, and that of UVA to only 3%, using a UV-opaque film prolonged the effective life of the cypermethrin residue to 26 weeks, and some beetles were still killed for a further 11 weeks. Even after this time, beetles exposed to cypermethrin from the UV-opaque treatment were still affected by the insecticide, and only showed near-normal mobility after 24 months of pesticide exposure to the UV-opaque film. These results have implications for the recommended intervals between cypermethrin treatment and crop harvest, and on the time of introduction of insect-based biological control agents, when UV-opaque films are used in commercial horticulture.

Minimum mean running time function generation using read only memory /

Vita.

Rapid evolution of noncoding RNAs: lack of conservation does not mean lack of function

The mammalian transcriptome contains many nonprotein-coding RNAs (ncRNAs), but most of these are of unclear significance and lack strong sequence conservation, prompting suggestions that they might be non-functional. However, certain long functional ncRNAs such as Air and Xist are also poorly conserved. In this article, we systematically analyzed the conservation of several groups of functional ncRNAs, including miRNAs, snoRNAs and longer ncRNAs whose function has been either documented or confidently predicted. As expected, miRNAs and snoRNAs were highly conserved. By contrast, the longer functional non-micro, non-sno ncRNAs were much less conserved with many displaying rapid sequence evolution. Our findings suggest that longer ncRNAs are under the influence of different evolutionary constraints and that the lack of conservation displayed by the thousands of candidate ncRNAs does not necessarily signify an absence of function.