Moments of Order Statistics from Length-Biased Exponential Distribution and Associated Inference
| Autor: | Kanika Verma, Narinder Pushkarna, Jagdish Saran, Zuber Akhter |
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| Rok vydání: | 2020 |
| Předmět: |
Recurrence relation
Exponential distribution Distribution (number theory) Scale (ratio) 020209 energy Order statistic Sample (statistics) 02 engineering and technology 01 natural sciences Computer Science Applications Exponential function 010104 statistics & probability Artificial Intelligence 0202 electrical engineering electronic engineering information engineering Business Management and Accounting (miscellaneous) Applied mathematics 0101 mathematics Statistics Probability and Uncertainty Moment distribution method Mathematics |
| Zdroj: | Annals of Data Science. 9:1257-1282 |
| ISSN: | 2198-5812 2198-5804 |
| DOI: | 10.1007/s40745-020-00245-5 |
| Popis: | Dara and Ahmad (Recent advances in moment distribution and their hazard rates, Academic Publishing GmbH KG, Lap Lambert, 2012) proposed the length-biased exponential (LBE) distribution and proved that the LBE distribution is more flexible than the exponential distribution. In this paper, we have obtained new explicit algebraic expressions and some recurrence relations for both single and product moments of order statistics from LBE distribution. Further, these expressions are used to compute the means, variances and covariances of order statistics for different sample of sizes and for arbitrarily chosen parameter values. Next, we use these moments to obtain the best linear unbiased estimates of the location and scale parameters based on complete as well as Type-II right censored samples. Finally, we carried out a simulation study to show the application of our results. |
| Databáze: | OpenAIRE |
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