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 information, together with order data, reliability idea, stochastic inequalities, and inference. Written in his honor, the twenty invited articles during this quantity mirror contemporary advances in those fields and shape a tribute to Panchapakesan’s effect and impression on those components.

Thematically prepared, the chapters conceal a extensive variety of subject matters from:

* Inference

* rating and Selection

* a number of Comparisons and checks

* contract evaluation

* Reliability

* Biostatistics

Featuring concept, equipment, functions, and huge bibliographies with designated emphasis on fresh literature, this entire 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

Example text

W. and Donner, A. (1977). Wald test as applied to hypotheses in logit analysis. Journal of the American Statistical Association, 72, 851853. 37. Journal of Statistical Planning and Inference, 2001, Vol. 97, No. 1, Special Issue on Rao's Score Test (12 papers, pp. 1-200). 38. Judge, G. , Griffiths, W. , Hill, R. , Liitkepohl, H. and Lee, T. C. (1985). The Theory and Practice of Econometrics, Second edition, John Wiley k Sons, New York. 39. Kmenta, J. (1986). Elements of Econometrics, Second edition, Macmillan PubHshers Limited, Hampshire, England.

N. (1983). Comparison of the Hkehhood ratio, Wald's and Rao's tests, Sankhyd, Series A, 45, 226-246. 15. Chandra, T. K. and Mukherjee, R. (1984). On the optimaHty of Rao's statistic. Communications in Statistics—Theory and Methods, 13, 15071515. 16. Chandra, T. K. and Mukherjee, R. (1985). es A, 47, 271-284. 17. Chandra, T. K. and Samanta, T. (1988). On second order local comparisons between pertTubed maximum likelihood estimators and Rao's statistic as test statistics. Journal of Multivariate Analysis, 25, 201-222.

15) All the three statistics have an asymptotic chi-square distribution on r degrees of freedom. An alternative way of expressing the RS statistic is as follows. H{e)[i{e)]-\H{e)^\ = >:[A{e)]\ -'\'H{9). 14). 16) and called it the Lagrangian Multiplier (LM) test. 5 Special form of c o m p o s i t e h y p o t h e s i s In many problems, the p-vector parameter 9 consists of two parts, 9\ an r vector and ^2 a (p - r) vector and the null hypothesis is of the form Ho '• 9i = 9io (a specified vector) and 9^ (known as a nuisance parameter) is arbitrary.

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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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