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Power Lindley distribution and associated inference
A new two-parameter power Lindley distribution is introduced and its properties are discussed. These include the shapes of the density and hazard rate functions, the moments, skewness and kurtosis measures, the quantile function, and the limiting distributions of order statistics. Maximum likelihood...
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| Published in: | Computational statistics & data analysis 2013-08, Vol.64, p.20-33 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c333t-39d018fd6c489f3fd52e8b7b529e1d0b626cde2f92c0ad15c7c52b57c48142193 |
| container_end_page | 33 |
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| container_start_page | 20 |
| container_title | Computational statistics & data analysis |
| container_volume | 64 |
| creator | Ghitany, M.E. Al-Mutairi, D.K. Balakrishnan, N. Al-Enezi, L.J. |
| description | A new two-parameter power Lindley distribution is introduced and its properties are discussed. These include the shapes of the density and hazard rate functions, the moments, skewness and kurtosis measures, the quantile function, and the limiting distributions of order statistics. Maximum likelihood estimation of the parameters and their estimated asymptotic standard errors are derived. Three algorithms are proposed for generating random data from the proposed distribution. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the parameters as well as the coverage probability and the width of the confidence interval for each parameter. An application of the model to a real data set is presented finally and compared with the fit attained by some other well-known two-parameter distributions. |
| doi_str_mv | 10.1016/j.csda.2013.02.026 |
| format | article |
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| ispartof | Computational statistics & data analysis, 2013-08, Vol.64, p.20-33 |
| issn | 0167-9473 1872-7352 |
| language | eng |
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| source | Elsevier; Backfile Package - Computer Science (Legacy) [YCS]; Backfile Package - Mathematics (Legacy) [YMT]; Backfile Package - Decision Sciences [YDT] |
| subjects | Algorithms Asymptotic properties Computer simulation Density Inference Lambert function Mathematical analysis Mathematical models Maximum likelihood estimator Power Lindley distribution Simulation algorithms Statistics |
| title | Power Lindley distribution and associated inference |
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