C. R. Rao (auth.), N. Balakrishnan, H. N. Nagaraja, N.'s Advances in Ranking and Selection, Multiple Comparisons, and PDF

By C. R. Rao (auth.), N. Balakrishnan, H. N. Nagaraja, N. Kannan (eds.)

ISBN-10: 0817632328

ISBN-13: 9780817632328

ISBN-10: 0817644229

ISBN-13: 9780817644222

S. Panchapakesan has made major contributions to score and choice and has released in lots of different parts of facts, together with order information, reliability concept, stochastic inequalities, and inference. Written in his honor, the twenty invited articles during this quantity replicate contemporary advances in those fields and shape a tribute to Panchapakesan’s impact and influence on those components.

Thematically geared up, the chapters hide a large diversity of themes from:

* Inference

* rating and Selection

* a number of Comparisons and exams

* contract review

* Reliability

* Biostatistics

Featuring thought, tools, purposes, and huge bibliographies with certain emphasis on fresh literature, this accomplished reference paintings will serve researchers, practitioners, and graduate scholars within the statistical and utilized arithmetic communities.

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Extra info for Advances in Ranking and Selection, Multiple Comparisons, and Reliability: Methodology and Applications

Sample text

Then one can only obtain failure times which are less than or equal to T, and the data so obtained are called Type-I censored data. Instead of prefixing the total time of the experiment, the experimenter may wish to discontinue the experiment after the first r failures are observed. In such a situation, the data are said to be Type-II censored. A generalization of this Type-II censoring is called Progressive Type-II censoring, which arises as follows. Of the n items placed on a life-test, suppose Ri functioning items are randomly removed from the test right after the first failure.

Econometric Analysis, Macmillan Publishers Limited, Hampshire, England. 32. Gregory, A. W. and Veal, M. R. (1985). Formulating Wald tests of nonlinear restrictions, Econometrica, 53, 1465-1468. 18 C R, Rao 33. Hall, W. J. and Mathiason, D. J. (1990). On large sample estimation and testing in parameter models, International Statistical Review, 58, 77-97. 34. Harris, P. (1985). An asymptotic expansion for the null distribution of the efficient score statistics, Biometrika, 72, 653-659. 35. Harvey, A.

Rao which is asymptotically distributed as N{0,1). An equivalent hypothesis is Ho : 0^ = 0 and the Wald test based on the parameter 6^ (using the 5-method to compute the variance of 6^, Rao (1973, p. 29) which is asymptotically normal as A^(0,1). 29) can be quite different. 4 [Gregory and Veal (1985)]. 30) and tests based on n observations. Let /3 and 7 be the maximum likelihood estimates (MLEs) of 0 and 7 with the estimated variance-covariance matrix ^2 (mi u 12 \W2l U W22 where a is the least squares estimate of a.

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Advances in Ranking and Selection, Multiple Comparisons, and Reliability: Methodology and Applications by C. R. Rao (auth.), N. Balakrishnan, H. N. Nagaraja, N. Kannan (eds.)

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