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Testing Exponentiality Against NBUL Alternatives Using Positive and Negative Fractional Moments
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M. Z. Anis
Published/Copyright:
December 1, 2011
Abstract
In this note a moment inequality for the New is Better than Used in Laplace ordering (NBUL) class of lifetime distributions is derived. A simple test statistic for testing exponentiality against NBUL alternatives is constructed. The test statistic is proved to be asymptotically normal and consistent. Critical values obtained by a Monte Carlo simulation are tabulated for different sample sizes. The asymptotic relative efficiency of the test is also studied.
Received: 2011-02-22
Published Online: 2011-December
Published in Print: 2011-December
de Gruyter 2011
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Articles in the same Issue
- A Nonparametric Control Chart for Location Based on Sub-Samples of Size Two
- Availability of a System with Multiple Failure Modes and Imperfect Repairs
- Sampling Methods and Market Surveillance
- Control Charts for Controlling Variability of Non-Normal Processes
- A Class of Weighted Gamma Distributions and its Properties
- Sequential Test for Truncated Distribution under Measurement Error
- Exact Distribution of Argmax (Argmin)
- A Hybrid Economic Group Acceptance Sampling Plan for Exponential Lifetime Distribution
- Chain Sampling Inspection Plans Based on Bayesian Methodology
- Exponentiated Modified Weibull Distribution
- Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration
- Testing Exponentiality Against NBUL Alternatives Using Positive and Negative Fractional Moments
