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THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION

Cilt: 6 Sayı: 1 30 Nisan 2018
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THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION

Öz

In this study, we introduce the five-parameter doubly-truncated exponentiated inverse Weibull distribution, where the truncation points are known, and consider its basic properties. Formulas for moment generating function, characteristic function, mean, variance and kurtosis of the distribution are derived. Estimates of parameters are obtained using traditional estimation methods; maximum likelihood, least squares and weighted least squares. Furthermore, in order to give a lower bound for the standard errors of estimates of parameters, a Fisher information matrix is provided. Finally, a Monte-Carlo simulation study is designed and conducted to evaluate the performances of obtained estimators of parameters.

Anahtar Kelimeler

Doubly-truncated exponentiated inverse Weibull distribution,Maximum likelihood method,Fisher information matrix

Kaynakça

  1. [1] Ahmad AA. Moments of order statistics from doubly truncated continuous distribution. Statistics 2001; 35: 479-494.
  2. [2] Ali MM, Pal M, Woo JS. Some exponentiated distributions. Communications for Statistical Applications and Methods 2007; 14(1): 93-109.
  3. [3] Al-Matrafi BN, Jawa TM. Recurrence relations for single moments of generalized order statistics from doubly truncated continuous distributions. Journal of King Abdulaziz University: Science 2008; 20(2): 79-89.

Kaynak Göster

APA
Aydın, D. (2018). THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 6(1), 55-74. https://doi.org/10.20290/aubtdb.326782
AMA
1.Aydın D. THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. AUBTD-B. 2018;6(1):55-74. doi:10.20290/aubtdb.326782
Chicago
Aydın, Demet. 2018. “THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6 (1): 55-74. https://doi.org/10.20290/aubtdb.326782.
EndNote
Aydın D (01 Nisan 2018) THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6 1 55–74.
IEEE
[1]D. Aydın, “THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION”, AUBTD-B, c. 6, sy 1, ss. 55–74, Nis. 2018, doi: 10.20290/aubtdb.326782.
ISNAD
Aydın, Demet. “THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 6/1 (01 Nisan 2018): 55-74. https://doi.org/10.20290/aubtdb.326782.
JAMA
1.Aydın D. THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. AUBTD-B. 2018;6:55–74.
MLA
Aydın, Demet. “THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, c. 6, sy 1, Nisan 2018, ss. 55-74, doi:10.20290/aubtdb.326782.
Vancouver
1.Demet Aydın. THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. AUBTD-B. 01 Nisan 2018;6(1):55-74. doi:10.20290/aubtdb.326782