Optimal Asymptotic Tests for Nakagami Distribution

Deniz Ozonur; Hatice Tül Kübra Akdur; Hülya Bayrak

Optimal Asymptotic Tests for Nakagami Distribution

Öz

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.

Anahtar Kelimeler

Likelihood Ratio test,Score test; C(α) test; Rayleigh distribution; Nakagami distribution

Kaynakça

[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.
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[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.
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[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.
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[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.

[9] Ozonur, D., Akdur, H.T.K., Bayrak, H. 2017. A comparison of goodness of fit tests of Rayleigh distribution against Nakagami distribution. 10th International Statistics Congress, 06-08 December, Ankara, 107.
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[11] Moran, P.A. 1970. On asymptotically optimal tests of composite hypotheses. Biometrika, 57(1), 47-55.
[12] Cox, D.R, Hinkley, D.V. 1974. Theoretical Statistics. Chapman and Hall: New York, 511p.
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[17] Balakrishnan, N., Kannan, N., Nagaraja, H.N. 2007. Advances in ranking and selection, multiple comparisons, and reliability: methodology and applications. Springer Science & Business Media, 412p.
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Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Deniz Ozonur

Hatice Tül Kübra Akdur Bu kişi benim

Hülya Bayrak

Yayımlanma Tarihi

5 Ekim 2018

Gönderilme Tarihi

27 Şubat 2018

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2018 Cilt: 22

IZ

https://izlik.org/JA28YN69HY

Kaynak Göster

RIS / Bibtex

APA

Ozonur, D., Akdur, H. T. K., & Bayrak, H. (2018). Optimal Asymptotic Tests for Nakagami Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, 487-492. https://izlik.org/JA28YN69HY

AMA

1.Ozonur D, Akdur HTK, Bayrak H. Optimal Asymptotic Tests for Nakagami Distribution. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22:487-492. https://izlik.org/JA28YN69HY

Chicago

Ozonur, Deniz, Hatice Tül Kübra Akdur, ve Hülya Bayrak. 2018. “Optimal Asymptotic Tests for Nakagami Distribution”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (Ekim): 487-92. https://izlik.org/JA28YN69HY.

EndNote

Ozonur D, Akdur HTK, Bayrak H (01 Ekim 2018) Optimal Asymptotic Tests for Nakagami Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 487–492.

IEEE

[1]D. Ozonur, H. T. K. Akdur, ve H. Bayrak, “Optimal Asymptotic Tests for Nakagami Distribution”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 22, ss. 487–492, Eki. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28YN69HY

ISNAD

Ozonur, Deniz - Akdur, Hatice Tül Kübra - Bayrak, Hülya. “Optimal Asymptotic Tests for Nakagami Distribution”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (01 Ekim 2018): 487-492. https://izlik.org/JA28YN69HY.

JAMA

1.Ozonur D, Akdur HTK, Bayrak H. Optimal Asymptotic Tests for Nakagami Distribution. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22:487–492.

MLA

Ozonur, Deniz, vd. “Optimal Asymptotic Tests for Nakagami Distribution”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, Ekim 2018, ss. 487-92, https://izlik.org/JA28YN69HY.

Vancouver

1.Deniz Ozonur, Hatice Tül Kübra Akdur, Hülya Bayrak. Optimal Asymptotic Tests for Nakagami Distribution. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. [Internet]. 01 Ekim 2018;22:487-92. Erişim adresi: https://izlik.org/JA28YN69HY