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## THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION

#### Demet AYDIN [1]

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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.

Doubly-truncated exponentiated inverse Weibull distribution, Maximum likelihood method, Fisher information matrix
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• [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.
Birincil Dil en Temel Bilimler Araştırma Makalesi Yazar: Demet AYDINÜlke: Turkey
 Bibtex @araştırma makalesi { aubtdb326782, journal = {ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences}, issn = {2146-0272}, eissn = {2146-0191}, address = {Eskişehir Teknik Üniversitesi}, year = {2018}, volume = {6}, pages = {55 - 74}, doi = {10.20290/aubtdb.326782}, title = {THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION}, key = {cite}, author = {AYDIN, Demet} } APA AYDIN, D . (2018). THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION. ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences, 6 (1), 55-74. DOI: 10.20290/aubtdb.326782 MLA AYDIN, D . "THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 6 (2018): 55-74 Chicago AYDIN, D . "THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 6 (2018): 55-74 RIS TY - JOUR T1 - THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION AU - Demet AYDIN Y1 - 2018 PY - 2018 N1 - doi: 10.20290/aubtdb.326782 DO - 10.20290/aubtdb.326782 T2 - ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences JF - Journal JO - JOR SP - 55 EP - 74 VL - 6 IS - 1 SN - 2146-0272-2146-0191 M3 - doi: 10.20290/aubtdb.326782 UR - http://dx.doi.org/10.20290/aubtdb.326782 Y2 - 2018 ER - EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION %A Demet AYDIN %T THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION %D 2018 %J ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences %P 2146-0272-2146-0191 %V 6 %N 1 %R doi: 10.20290/aubtdb.326782 %U 10.20290/aubtdb.326782 ISNAD AYDIN, Demet . "THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 6 / 1 (Nisan 2018): 55-74. http://dx.doi.org/10.20290/aubtdb.326782