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Exponentiated Modified Weibull Distribution
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I. Elbatal
Published/Copyright:
December 1, 2011
Abstract
In this paper we consider the exponentiated modified Weibull distribution. The modified Weibull distribution, Weibull distribution and the exponentiated exponential distribution are found to be particular cases of this family. We derive the analytical shape of the corresponding density functions and hazard rate functions. The rth moment and the moment generating function are determined. Finally the distribution of order statistics and the least squares estimators of the parameters are discussed.
Received: 2011-03-06
Published Online: 2011-December
Published in Print: 2011-December
de Gruyter 2011
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Keywords for this article
Hazard Function;
Moments;
Order Statistics;
Exponentiated Modified Weibull Distribution
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
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- A Hybrid Economic Group Acceptance Sampling Plan for Exponential Lifetime Distribution
- Chain Sampling Inspection Plans Based on Bayesian Methodology
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- Optimal Control of a Two-Item Inventory System with Different Types of Item Deterioration
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