Titlebook: Applied Probability and Stochastic Processes; J. G. Shanthikumar,Ushio Sumita Book 1999 Springer Science+Business Media New York 1999 Anal

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Transformations of Poisson Processes: Particle Systems and Networks, and insightful questions about our research and his musings about the relevance of applied probability. One of his traits was to strive to uncover the essence of a matter and to present major ideas in a simple form. That is the spirit in which I approached this chapter. Its focus is on simple proof

Musket

On the Local Time of the Brownian Bridge,The limit (4.2) exists with probability one, and τ(α) is a nonnegative random variable that is called the local time at level α. We have . for . ≥ 0. The notion of local time was introduced by P. Lévy [9,10] in 1939 (see also [15] and [6]).

Parallel

Probabilistic Token Causation: A Bayesian Perspective,ation, can be discussed by comparing two prediction probabilities, one conditional on the occurrence of C and the other on its “counterfactual” event, where . does not occur. The latter, a singular form, is often called . and corresponds to finding a causal explanation of the occurrence of an event

Asparagus

On a Statistical Algorithm to Decode Heavily Corrupted Linear Codes,cial cases compared to that of decoding by the maximum likelihood method is of major interest. Levitin and Hartmann [.] present a decoding algorithm having the complexity of order 2. where .(ρ) is a function of the code rate ρ with .(ρ) < 1 for ρ > 0.1887 and .(ρ) = 1 for ρ ≤ 0.1887. If codes are he

JECT

Mean Cover Times for Coupon Collectors and Star Graphs,f coupons one needs to collect in order to have at least one of each of . distinct types. We are interested in using simulation to efficiently estimate the mean and variance of .., for each . 1, ⋯, . Whereas we could simulate the successive types of coupons obtained and then utilize the observed val

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Optimality of Sequential Quality Control via Stochastic Orders,esign and control of stochastic systems (refer to the wide-ranging applications presented in a recent monograph by Shaked and Shanthikumar [.]; also, refer to Shaked and Shanthikumar [.] and Shanthikumar and Yao [.], among many others). A somewhat less known but equally useful property, stochastic s

Essential

Reallocatable GSMP with Sequentially Dependent Lifetimes: Clockwise Decomposability and its Applical flowers in a garden but cannot see ground. Julian Keilson is honored as one of the great pioneers in cultivating the ground of applied probability. I am pleased to have an opportunity to contribute to this book dedicated to him, and I would like to consider queueing network problems under a genera