Non-classical error bounds in the central limit theorem

The classical central limit theorem states the uniform convergence of the distribution functions of the standardized sums of independent and identically distributed square integrable real-valued random variables to the standard normal distribution function. While first versions of the central limit theorem are already due to Moivre (1730) and Laplace (1812), a systematic study of this topic started at the beginning of the last century with the fundamental work of Lyapunov (1900, 1901). Meanwhile, extensions of the central limit theorem are available for a multitude of settings. This includes, e.g., Banach space valued random variables as well as substantial relaxations of the assumptions of independence and identical distributions. Furthermore, explicit error bounds are established and asymptotic expansions are employed to obtain better approximations. Classical error estimates like the famous bound of Berry and Esseen are stated in terms of absolute moments of the random summands and therefore do not reflect a potential closeness of the distributions of the single random summands to a normal distribution. Non-classical approaches take this issue into account by providing error estimates based on, e.g., pseudomoments. The latter field of investigation was initiated by work of Zolotarev in the 1960's and is still in its infancy compared to the development of the classical theory. For example, non-classical error bounds for asymptotic expansions seem not to be available up to now ...

A ração úmida no crescimento dos pintos

The author reports in this paper the results obtained in one experiment with wet an dry mash on the growing of chickens. The experiment started with two groups of 50 Sussex bred each, one receiving dry and other wet mash. The observations were continued in another four groups of 25 chickens each, two of Rhod Island Red bred and two of Sussex bred, both receiving dry and wet mash. The chickens were weight every 10 days and the differences obtained proved to be not significant statistically. Both dry and wet mash were equally good but wet mash is much more dificult to give to the chickkens than the dry one.

Alimentação dos marrecos II: ração de marrecas para postura - Ração balanceada x Ração grosseira, barata

The author studied in this paper the substitution of a balanced ratio for an economic ratio composed of 50% of sugar beet and 50% of balanced ratio, in feeding ducks egg production. It was found that the combination had no advantage since the production of eggs was very much reduced.

Estudos sôbre a coloração da gema de ôvo de galinhas - IV. Efeito da raça e da quantidade de milho amarelo na ração

This paper deals with experiments on the yolk color of chicken eggs. The results obtained can be summarized as follows: a) no differences were observed when different breeds (S. C. W. Leghorn and Rhode Island Red) were fed whith the same ration: yellow corn grains or green feed. b) 30% of yellow corn grain (orange or yellow) in the ration are sufficient to give satisfactory color to the yolk eggs.

Smoothing singularities of Riemannian metrics while preserving lower curvature bounds

Magdeburg, Univ., Fak. für Mathematik, Diss., 2014

Desempenho de bovinos confinados com ração ã base de bagaço de cana-de-açúcar auto-hidrolisado, levedura e vinhaça, sub-produtos da indústria de açúcar e álcool

O uso de levedura seca e concentrada de vinhaça, associados ao bagaço de cana-de-açúcar auto-hi drolisado (BAH) em rações de confinamento, foi testado em comparação com rações também à base de BAH, contendo farelo de algodão como fonte de proteína. Durante 122 dias foi conduzido ura experimento de ganho de peso com novilhos confinados (peso vivo inicial = 316kg). As rações, formuladas para proporcionarem ganho de peso lkg por dia, continham 50% de BAH, 12,7% da fonte de proteína (farelo de algodão ou concentrado de vinhaça ou levedura), 17,8% de milho e 12,5% de cana picada como volumoso complementar, na materia seca (M.S.). 0 ganho de peso médio foi de 843, 989 e 580g/cabeça/dia para as rações contendo farelo de algodão, levedura e concentrado de vinhaça, respectivamente. As rações contendo levedura e farelo de algodão proporcionaram ganhos de peso significativamente superiores (R <_ 0,01) quando comparadas à ração contendo concentrado de vinhaça, não ocorrendo diferenças significativas entre as duas primeiras, nem mesmo ao nível de 5% pelo teste de Tukey. Conclui-se que a levedura seca pode substituir totalmente o farelo de algodão em rações completas para confinamento contendo bagaço de cana auto-hidrolisado, devendo-se, entretanto, considerar os aspectos econômicos dessa substituição.

Growth of positive words and lower bounds of the growth rate for Thompson's group (F)p

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Estudos histológicos nas células glandulares do insetos peçonhentos: III. parte: sôbre as áreas glandulares da largata de Sibine nesea (Stoll-Cramer, 1781) (Lepidoptera, Eucleidae)

a) Foram estudados os dois pares de áreas glandulares da largata de Sibine nesea. O primeiro par se localisa no 7° segmento abdominal enquanto o segundo está no 9° segmento abdominal. Estas áreas glandulares são semelhantes entre si em forma e função. São cobertas por espinhos que ficam em posição erecta e representam o aparelho inoculador. b) A cerda, pequena, se localisa na ponta do espinho com uma inserção modificada, de modo que sua base se afunila e ela se apoia firmemente sôbre a extremidade do espinho. c) O espinho representa uma evaginação da parede do corpo. É longo e apresenta em tôda a sua superfície escaminhas dirigidas para baixo e que aumentam de tamanho caminhando-se da extremidade para a base do espinho. d) A hipoderme que desce do espinho forma dentro da parede do corpo uma grande célula glandular que apresenta na extremidade apical uma zona radiada condutora da secreção dentro da célula. e) A hipoderme que desce do espinho é que vai formar o canal condutor da secreção que, saindo da célula glandular, vai ser conduzida e encher tôda a cavidade da mesmo e da cerda. f) O núcleo é fortemente polimorfo. g) A peçonha inoculada ocasiona irritações, queimaduras e mesmo flictenas na epiderme do homem.

Lower bounds for the number of limit cycles of trigonometric Abel equations

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A New Test of the Real Interest Rate Parity Hypothesis: Bounds Approach and Structural Breaks

We test the real interest rate parity hypothesis using data for the G7 countries over the period 1970-2008. Our contribution is two-fold. First, we utilize the ARDL bounds approach of Pesaran et al. (2001) which allows us to overcome uncertainty about the order of integration of real interest rates. Second, we test for structural breaks in the underlying relationship using the multiple structural breaks test of Bai and Perron (1998, 2003). Our results indicate significant parameter instability and suggest that, despite the advances in economic and financial integration, real interest rate parity has not fully recovered from a breakdown in the 1980s.

Lower bounds for kernelizations

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Sharp Bounds on Heterogeneous Individual Treatment Responses

This paper discusses how to identify individual-specific causal effects of an ordered discrete endogenous variable. The counterfactual heterogeneous causal information is recovered by identifying the partial differences of a structural relation. The proposed refutable nonparametric local restrictions exploit the fact that the pattern of endogeneity may vary across the level of the unobserved variable. The restrictions adopted in this paper impose a sense of order to an unordered binary endogeneous variable. This allows for a uni.ed structural approach to studying various treatment effects when self-selection on unobservables is present. The usefulness of the identi.cation results is illustrated using the data on the Vietnam-era veterans. The empirical findings reveal that when other observable characteristics are identical, military service had positive impacts for individuals with low (unobservable) earnings potential, while it had negative impacts for those with high earnings potential. This heterogeneity would not be detected by average effects which would underestimate the actual effects because different signs would be cancelled out. This partial identification result can be used to test homogeneity in response. When homogeneity is rejected, many parameters based on averages may deliver misleading information.

Sharp weighted bounds for fractional integral operators

The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal version of the extrapolation theorem of Rubio de Francia and characterizations of two-weight norm inequalities.