A Class of Distributions Useful in Life Testing and Reliability

A new dass of distributions having a finite range that will be useful in life testing and reliability is proposed. Methods of estimating the unknown parameters are studied. Explicit expressions for lower moments of order statistics in complete random samples of any size are given. A uniformly most powerful test is derived for the `shape' parameter assuming the location and scale parameters known. An asymptotically optimal test procedure is also suggested when the location and scale parameters are unknown.