Locally Most Powerful Rank Tests for Multiple-Censored Data

K. G. Mehrotra, R. A. Johnson, G. K. Bhattacharyya

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A locally most powerful rank test is derived for multiple censored data in the context of a two-sample problem where the alternatives involve a single parameter. With independent random samples X1,‥, Xm and Y1,‥, Yn, from F and G respectively, let the combined samnle order statistics be denoted by W1, ‥, WN where N = m+n. We present results for the triple censoring scheme where two blocks of order statistics, Wk1 to Wk2 and Wk3 to Wk4 are observed in addition to recording the number of X’s and Y's among the censored values. These extend the derivation of optimal rank tests for single censored data to the multiple censored situation.

Original languageEnglish (US)
Pages (from-to)459-469
Number of pages11
JournalCommunications in Statistics - Theory and Methods
Volume6
Issue number5
DOIs
StatePublished - Jan 1 1977

Fingerprint

Locally Most Powerful Test
Rank Test
Censored Data
Order Statistics
Two-sample Problem
Optimal Test
Censoring
Alternatives

Keywords

  • hazard rate
  • multiple censoring

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Locally Most Powerful Rank Tests for Multiple-Censored Data. / Mehrotra, K. G.; Johnson, R. A.; Bhattacharyya, G. K.

In: Communications in Statistics - Theory and Methods, Vol. 6, No. 5, 01.01.1977, p. 459-469.

Research output: Contribution to journalArticle

Mehrotra, K. G. ; Johnson, R. A. ; Bhattacharyya, G. K. / Locally Most Powerful Rank Tests for Multiple-Censored Data. In: Communications in Statistics - Theory and Methods. 1977 ; Vol. 6, No. 5. pp. 459-469.
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