Titlebook: Advances in the Statistical Sciences: Applied Probability, Stochastic Processes, and Sampling Theory; Volume I of the Fest Ian B. MacNeill,

magnate

Carl-Henri Prophète,Dudley Augustinr the discrimination problem of allocating observations to their parent densities in such a way as to minimize a linear combination of the expected number of the two types of misclassification. The rule minimizing this risk function is written as a function of ..

为宠爱

Carl-Henri Prophète,Dudley Augustinracterized by their totally positive dependence of order 2 (TP2) and reverse regular of order 2 (RR2) properties. A corollary of these results is the existence of a measurable transformation which transforms two different random variables of a location-scale parameter family defined by a symmetric p

详细目录

一起平行

Alexandra C. Gunn,N. Ruth GassonProfessor Godambe and others. The recently introduced “stepwise Bayes” technique of Meeden and Ghosh has been explored in the proof of admissibility of well-known estimators as well as in the construction of new admissible estimators of the finite population mean and the finite population variance.

Ingenuity

疏远天际

https://doi.org/10.1007/978-981-10-2207-4 with two treatments and no technical error. Basic considerations concerning the role and choice of randomization are shown to correspond. There is no obvious value in the design context for analogues of πps sampling. An optimality result for estimation of the difference in treatment effect is given

TRAWL

Sarcoma

V. M. Joshi and the Markov Oscillation Problem,ov chain (with .(0) = 1). For any given . > 0, put p(.) = .. How small is m = inf{.(.): . ≤ .}? In other words, what pairs (.) can occur?.The problem remains unsolved but substantial contributions to the eventual solution have been made by V. M. Joshi. This paper reviews Joshi’s work and outlines the current state of play.

Meander

Probabilistic Models of the Photographic Process,by probabilists. This paper reviews applications of probability to such problems as reciprocity failure, granularity, and adjacency effects in photographic materials, concentrating on developments since 1971.

间谍活动

Limit Theorems Arising in Soil Erosion Modelling,Here {..}.. is an independent and identically distributed sequence of non-negative random variables and {..}.. is a Markov chain, with stationary transition probabilities, independent of {..}.∞. In this paper we are concerned with the limiting distributions of the maximum term X. = sup... and of the sum S. = X. +… + X..