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Transmuted Generalized Inverted Exponential Distribution
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Ibrahim Elbatal
Published/Copyright:
February 3, 2014
Abstract
This paper introduces a transmuted generalized inverted exponential distribution. We generalize the two parameter generalized inverted exponential distribution using the quadratic rank transmutation map proposed by Shaw et al. (2007) to develop a transmuted generalized inverted exponential distribution. The properties of the transmuted generalized inverted exponential distribution are discussed. We derive the moments and examine the order statistics. Moreover, the maximum likelihood estimators for the parameters is briefly investigated and the information matrix is derived.
MSC: 62H10
Received: 2013-4-2
Published Online: 2014-2-3
Published in Print: 2013-12-1
©2014 Walter de Gruyter Berlin/Boston
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Keywords for this article
Order Statistics;
Transmutation Map;
Maximum Likelihood Estimation;
Reliability Function
Articles in the same Issue
- Frontmatter
- Assessment of Traditional Demerits and a New Ordinal Alternative
- Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution
- Comparison of Lower Bounds for the Variance of Unbiased Estimators for some Well-known Families of Distributions
- Order k Version of the Alternative Hyper-Poisson Distribution
- Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
- X̅ Charts with Variable Control and Warning Limits
- Transmuted Generalized Inverted Exponential Distribution
- Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution
- Multivariate Process Capability Index: A Review and Some Results
- Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination
