Optimal Asymptotic Tests for Nakagami Distribution
Abstract
Nakagami distribution is often used to model positive valued data with right skewness. The distribution includes some familiar distributions as special cases such as Rayleigh and Half-normal distributions. In real life applications, one of the simpler model may be sufficient to describe data. The aim of this paper is to adapt tests of goodness of fit of the Rayleigh distribution against Nakagami distribution. In this study likelihood ratio, and score tests are specifically obtained. These tests are then compared in terms of type I error and power of test by a Monte Carlo simulation study.
Keywords
References
- [1] Nakagami, M. 1960. The m-distribution: a general formulation of intensity distribution of rapid fading. In W.C. Hoffman (ed.), Statistical Method in Radio Wave Propagation. Tarrytown, NY: Pergamon, 3–36.
- [2] Sarkar, S., Goel, N.K., Mathur, B.S. 2009. Adequacy of Nakagami-m distribution function to derive GIUH. J. Hydrol. Eng. 14, 1070–1079.
- [3] Sarkar, S., Goel, N.K., Mathur, B.S. 2010. Performance investigation of Nakagami-m distribution to derive flood hydrograph by genetic algorithm optimization approach. J. Hydrol. Eng. 15, 658–666.
- [4] Shankar, P.M., Piccoli, C.W., Reid, J.M., Forsberg, F., Goldberg, B.B. 2005. Application of the compound probability density function for characterization of breast masses in ultrasound B scans. Phys. Med. Biol. 50, 2241–2248.
- [5] Tsui, P.H., Huang, C.C.,Wang, S.H. 2006. Use of Nakagami distribution and logarithmic compression in ultrasonic tissue characterization. J. Med. Biol. Eng. 26, 69–73.
- [6] Kim, K., Latchman, H.A. 2009. Statistical traffic modeling of MPEG frame size: Experiments and analysis. J. Systemics, Cybernetics Inform. 7, 54–59.
- [7] Carcole, E., Sato, H. 2009. Statistics of the punctuations of the amplitude of coda waves of local earthquakes. Abstracts of the Seismological Society of Japan, Kyoto, Japan, C31–13.
- [8] Nakahara, H., Carcole, E. 2010. Maximum likelihood method for estimating Coda Q and the Nakagami-m parameter. Bull. Seismol. Soc. Am. 100, 3174-3182.
Details
Primary Language
Turkish
Subjects
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Journal Section
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Publication Date
October 5, 2018
Submission Date
February 27, 2018
Acceptance Date
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Published in Issue
Year 2018 Volume: 22