Annals of the Institute of Statistical Mathematics
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A limit theorem of certain repairable systems
Annals of the Institute of Statistical Mathematics - Tập 41 - Trang 809-818 - 1989
Many large engineering systems can be viewed (or imbedded) as a series system in time. In this paper, we introduce the structure of a repairable system and the reliabilities of these large systems are studied systematically by studying the ergodicities of certain non-homogeneous Markov chains. It shows that if the failure probabilities of components satisfy certain conditions, then the reliability...... hiện toàn bộ
On unbiased estimation of the population variance based on the stratified random sample (II)
Annals of the Institute of Statistical Mathematics - Tập 22 - Trang 429-433 - 1970
The Exact and Limiting Distributions for the Number of Successes in Success Runs Within a Sequence of Markov-Dependent Two-State Trials
Annals of the Institute of Statistical Mathematics - Tập 54 - Trang 719-730 - 2002
The total number of successes in success runs of length greater than or equal to k in a sequence of n two-state trials is a statistic that has been broadly used in statistics and probability. For Bernoulli trials with k equal to one, this statistic has been shown to have binomial and normal distributions as exact and limiting distributions, respectively. For the case of Markov-dependent two-state ...... hiện toàn bộ
Distribution results and power functions for Kac statistics
Annals of the Institute of Statistical Mathematics - Tập 22 - Trang 257-260 - 1970
Faster exact distributions of pattern statistics through sequential elimination of states
Annals of the Institute of Statistical Mathematics - Tập 69 - Trang 231-248 - 2015
When using an auxiliary Markov chain (AMC) to compute sampling distributions, the computational complexity is directly related to the number of Markov chain states. For certain complex pattern statistics, minimal deterministic finite automata (DFA) have been used to facilitate efficient computation by reducing the number of AMC states. For example, when statistics of overlapping pattern occurrence...... hiện toàn bộ
On the come-and-stay interarrival time in a modified queueing system GI/M/1
Annals of the Institute of Statistical Mathematics - Tập 15 - Trang 207-213 - 1963
Convergence of empirical spectral distributions of large dimensional quaternion sample covariance matrices
Annals of the Institute of Statistical Mathematics - Tập 68 - Trang 765-785 - 2015
In this paper, we establish the limit of empirical spectral distributions of quaternion sample covariance matrices. Motivated by Bai and Silverstein (Spectral analysis of large dimensional random matrices, Springer, New York, 2010) and Marčenko and Pastur (Matematicheskii Sb, 114:507–536, 1967), we can extend the results of the real or complex sample covariance matrix to the quaternion case. Suppo...... hiện toàn bộ
Comparison of ratio estimators in two-phase sampling
Annals of the Institute of Statistical Mathematics - Tập 26 - Trang 339-350 - 1974
To estimate the finite population mean,
$$\bar Y$$
, a two-phase sample may be selected. A simple random sample of sizen′ is chosen, and a concomitant variable,X, is measured for all units. Then, a simple random subsample of sizen (0... hiện toàn bộ
Third order efficiency implies fourth order efficiency: A resolution of the conjecture of J. K. Ghosh
Annals of the Institute of Statistical Mathematics - - 1996
On a multidimensional linear discriminant function
Annals of the Institute of Statistical Mathematics - - 1964
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