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

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Central Limit Theorems for Cluster Point Processes,ce of independent and identically distributed (i.i.d.) point processes .. on ... Each point mass . in . is replaced by an independent copy of . centered at .. If . is a Poisson process, the resulting point process . is said to be a Poisson cluster point process (Poisson C.P.P.).

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Ideas from the Foundations of Sampling Applied to the One-way Layout, 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.

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Analytic Uses of Survey Data: A Review,rom the point of view of estimation as well as for performing hypothesis tests and developing confidence intervals. Many problems such as analysis of linear models and log-linear models have been studied recently. We cite the main results. Estimation of population percentiles is also discussed.

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Contemporary Irish Poetry and the Canonov 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.

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Contemporary Irish Poetry and the Canonby 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.

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Contemporary Irish Republican Prison WritingHere {..}.. 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..