ABSTRACT
To a considerable extent, this chapter is based on previous results by the author (Cohen, 1965, 1973, 1975). The Weibull distribution has in recent years assumed a position of prominence in the field of reliability and life testing where samples are often either truncated or censored. From a computational point of view, this distribution is particularly appealing, since its cumulative distribution function (cdf) can be expressed explicitly as a simple function of the random variable. Various topics associated with this distribution have been considered by numerous writers. Among these are Dubey (1963), Esary and Proschan (1963), Jaech (1964), Kao (1958, 1959), Lehman (1963), Leone eta!. (1960), Lloyd and Lipow (1962), Menon (1963), Procassini and Romano (1961), Proschan (1963), Nelson (1968, 1969, 1972, 1982), Bain (1978), Cohen and Whitten (1982, 1988), Harter and Moore (1965, 1967), Mann (1968), Mann and Fertig (l975a, b), Lemon (1975), Wingo (1973), Ringer and Sprinkle (1972), Rockette et a!. (1974), Koniger (1981), Zanakis (1977, 1979a,b), Zanakis and Mann (1981), Wycoff eta!. (1980), and others.
