Sequential Approach to Simultaneous Estimation of the Mean and Variance.
Sequential classification in the case of many populations
Sequential confidence intervals based on robust estimators
Sequential estimation of powers of a scale parameter from delayed observations
The problem of sequentially estimating powers of a scale parameter in a scale family and in a location-scale family is considered in the case when the observations become available at random times. Certain classes of sequential estimation procedures are derived under a scale invariant loss function and with the observation cost determined by a convex function of the stopping time and the number of observations up to that time.
Sequential estimation of survival functions with a neutral to the right process prior
In this work, a parametric sequential estimation method of survival functions is proposed in the Bayesian nonparametric context when neutral to the right processes are used. It is proved that the mentioned method is an 1-SLA rule when Dirichlet processes are used; furthermore, asymptotically pointwise optimal procedures are obtained. Finally, an example is given.
Sequential Fixed-Width Confidence Bands for Distribution Functions Under Random Censoring.
Sequential point and interval estimation of scale parameter of exponential distribution.
Several applications of divergence criteria in continuous families
This paper deals with four types of point estimators based on minimization of information-theoretic divergences between hypothetical and empirical distributions. These were introduced (i) by Liese and Vajda [9] and independently Broniatowski and Keziou [3], called here power superdivergence estimators, (ii) by Broniatowski and Keziou [4], called here power subdivergence estimators, (iii) by Basu et al. [2], called here power pseudodistance estimators, and (iv) by Vajda [18] called here Rényi pseudodistance...
Shortest Condidence Intervals and UMVU Estimators for Families of Distributions Involving Truncation Parameters.
Shortest Confidence Interval Estimation for Families of Distributions Involving Two Truncation Parameters.
Significance tests to identify regulated proteins based on a large number of small samples
Modern biology is interested in better understanding mechanisms within cells. For this purpose, products of cells like metabolites, peptides, proteins or mRNA are measured and compared under different conditions, for instance healthy cells vs. infected cells. Such experiments usually yield regulation or expression values – the abundance or absence of a cell product in one condition compared to another one – for a large number of cell products, but with only a few replicates. In order to distinguish...
Simple large sample estimators of scale and location parameters based on blocks of order statistics.
In this paper quite efficient large sample estimation procedures are derived for jointly estimating the parameters of the location-scale family of distributions. These estimators are linear combinations of the means of suitably chosen blocks of order statistics. For specific distributions, such as the extreme-value, normal, and logistic, little is to be gained by using more than three blocks. For these distributions we can obtain joint relative asymptotic efficiencies of 97-98% using the means of...
Simultaneous Estimation After Selection and Ranking and Other Procedures: The Negative Exponential Case.
Simultaneous minimax estimation of parameters of multinomial distribution
The problem of minimax estimation of parameters of multinomial distribution is considered for a loss function being the sum of the losses of the statisticians taking part in the estimation process.
Simultaneous One-Sided Prediction Intervals for a Two-Parameter Exponential Distribution Using Complete or Type II Censored Data.
Size-robustness of tests based on order statistics and spacings for the exponential distribution
Skupinové testování – oddělující systémy
Otázkami spojenými s testováním vzorků se v souvislosti s pandemií covid-19 začala zabývat i širší veřejnost. Jednou z otázek, která byla v souvislosti s testováním diskutována, byla i otázka tzv. poolování. Cílem předkládaného článku je představit jeden z matematických nástrojů -- oddělující systémy, který lze při spojování vzorků a jejich následném testování efektivně využít. Všechna odvození jsou realizována jen s využitím elementární matematiky tak, aby bylo možné dosažené výsledky nejen použít...
Sobre el test de máxima potencia para hipótesis nula simple contra hipótesis alternativa simple.
El propósito de este trabajo es dar una construcción explícita del test de máxima potencia para un constraste de hipótesis paramétrico en el que tanto la hipótesis nula como la hipótesis alternativa son simples, utilizando para ello técnicas del Análisis Funcional y de Programación Matemática.
Some Applications of Anderson's Inequality to Some Optimality Criteria of the Generalized Least Squares Estimator.
Some applications of probability generating function based methods to statistical estimation
After recalling previous work on probability generating functions for real valued random variables we extend to these random variables uniform laws of large numbers and functional limit theorem for the empirical probability generating function. We present an application to the study of continuous laws, namely, estimation of parameters of Gaussian, gamma and uniform laws by means of a minimum contrast estimator that uses the empirical probability generating function of the sample. We test the procedure...