The large sample distribution of the Shapiro--Wilk statistic and its variants under Type I or Type II censoring

Richard A. Johnson and Steve Verrill

Statistics & Probability Letters, 1991, vol. 12, issue 5, 405-413

Abstract: The original Shapiro--Wilk statistic is extended for testing normality when the observations are Type I or Type II censored. We determine its large sample limit distribution under Type I or Type II censoring. This censored data limit distribution has an interesting relation to the complete sample solution and is obtained from it by replacing each Hermite polynomial with a censored data form. The same limit distribution also applies to several variants of the Shapiro--Wilk statistic which are related to the correlation coefficient associated with a normal probability plot.

Keywords: Asymptotic; distributions; Type; I; and; Type; II; censoring; correlation; coefficient; tests; of; normality; modified; Shapiro--Wilk; statistics; normal; probability; plot (search for similar items in EconPapers)
Date: 1991
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