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Estimating exponentiated parameter and distribution of quotient and ratio in an exponentiated Pareto  

Moon, Yeung-Gil (Department of Tourism Quality Management, Kangwon Tourism College)
Lee, Chang-Soo (Department of Mobile Engineering, Kyungwoon University)
Kang, Jun-Ho (Department of Special Physical Education, Kaya University)
Publication Information
Journal of the Korean Data and Information Science Society / v.21, no.5, 2010 , pp. 967-972 More about this Journal
Abstract
We shall consider estimations of an exponetiated parameter of the exponentiated Pareto distribution with known scale and threshold parameters. A quotient distribution of two independent exponentiated Pareto random variables is obtained. We also derive the distribution of the ratio of two independent exponentiated Pareto random variables.
Keywords
Approximate maximum likelihood estimator; exponentiated Pareto distribution; generalized hypergeometric function; quotient; ratio;
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Times Cited By KSCI : 5  (Citation Analysis)
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1 Lee, C. S. andWon, H. Y. (2006). Inference on reliability in an exponentiated uniform distribution. Journal of the Korean Data & Information Sciences Society, 17, 507-513.   과학기술학회마을
2 Lee, J. C. and Lee, C. S. (2010). Reliability and ratio in a right truncated Rayleigh distribution. Journal of the Korean Data & Information Sciences Society, 21, 195-200.   과학기술학회마을
3 Ali, M. M., Pal, M. and Woo, J. (2007). Some exponentiated distributions. The Korean Communications in Statistics, 14, 93-109.   과학기술학회마을   DOI   ScienceOn
4 Ali, M. M. and Woo, J. (2010). Estimation of tail probability and reliability in exponentiated Pareto case. Pakistan Journal of Statistics, 26, 39-47.
5 Ali, M. M., Woo, J., and Nadarajah, S. (2005). On the ratio X/(X + Y) for the power function distribution. Pakistan Journal of Statistics, 21, 131-138.
6 Balakrishnan, N. and Cohen, A. C. (1991). Order statistics and inference, Academic Press, Inc., New York.
7 Gradshteyn, I. S. and Ryzhik, I. M. (1965). Tables of integrals, series, and products, Academic Press, New York.
8 Gupta, R. D. (2001). Exponentiated exponential family, an alternative to gamma and Weibull distribution. Biometrical Journal, 43, 117-130.   DOI   ScienceOn
9 Johnson, N. L., Kotz, S. and Balakrishnan, N. (1994). Continue univariate distribution, Houghton Mifflin Com., Boston.
10 Abramowitz, M. and Stegun, I. A. (1970). Handbook of mathematical functions, Dover Publications Inc., New York.
11 Ali, M. M., Pal, M. and Woo, J. (2006). Exponentiated Weibull distribution. Statistica LXIV , 2, 139-148.
12 Woo, J. (2008). Estimating reliability and distribution of ratio in two independent different variates. Journal of the Korean Data & Information Science Society, 19, 967-977.   과학기술학회마을
13 Moon, Y. G., Lee, C. S. and Ryu, S. G. (2009). Reliability and ratio in exponentiated complementary power function distribution. Journal of the Korean Data & Information Sciences Society, 20, 955-960.   과학기술학회마을