Titlebook: Collection of problems in probability theory; L. D. Meshalkin Book 1973 Noordhoff International Publishing, Leyden, The Netherlands 1973 C

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o the Russian edition This Collection of problems in probability theory is primarily intended for university students in physics and mathematics departments. Its goal is to help the student of probability theory to master the theory more pro- foundly and to acquaint him with the application of probability the978-94-010-2360-3978-94-010-2358-0

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Markov chains,, …, We will say that this sequence forms a . if for an arbitrary finite collection of integers . < . < ······ <. < . the joint distribution ., ., …, ., ζ. is such that the conditional probability of the relation ζ. = . under the conditions . = ., …, . = . coincides with the conditional probability

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Book 1973translation because, in the opinion of the editor, its content deviates somewhat from that which is suggested by the title: problems in pro- bability theory. The original Russian version contains some errors; an attempt was made to correct all errors found, but perhaps a few stiII remain. An index h

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d in this translation because, in the opinion of the editor, its content deviates somewhat from that which is suggested by the title: problems in pro- bability theory. The original Russian version contains some errors; an attempt was made to correct all errors found, but perhaps a few stiII remain.

MUTED

Kairong Hong,Yue Zhuo,Baiquan Wangthe i.d. law.is knowm, where .(.) is a nondecreasing function of bounded variation, and the function under the integral sign is defined by the equality.for . = 0. It is also assumed known that the representation of log .(.) by formula (1) is unique.

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https://doi.org/10.1007/978-981-19-4112-2lity..do not depend on ., the Markov chain is called .. The matrix of the transition probabilities of the Markov chain . + ‖.‖ obviously possessed the following properties:.Matrices, for which conditions a) and b) are satisfied, are called . matrices.

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