TY  - JOUR
T1  - THE DOUBLY-TRUNCATED EXPONENTIATED INVERSE WEIBULL DISTRIBUTION
AU  - Aydın, Demet
PY  - 2018
DA  - April
DO  - 10.20290/aubtdb.326782
JF  - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler
JO  - AUBTD-B
PB  - Eskişehir Teknik Üniversitesi
WT  - DergiPark
SN  - 2146-0272
SP  - 55
EP  - 74
VL  - 6
IS  - 1
LA  - en
AB  - In this study, we introduce the five-parameterdoubly-truncated exponentiated inverse Weibull distribution, where thetruncation points are known, and consider its basic properties. Formulas formoment generating function, characteristic function, mean, variance andkurtosis of the distribution are derived. Estimates of parameters are obtainedusing traditional estimation methods; maximum likelihood, least squares andweighted least squares. Furthermore, in order to give a lower bound for thestandard errors of estimates of parameters, a Fisher information matrix is provided.Finally, a Monte-Carlo simulation study is designed and conducted to evaluatethe performances of obtained estimators of parameters.
KW  - Doubly-truncated exponentiated inverse Weibull distribution
KW  - Maximum likelihood method
KW  - Fisher information matrix
CR  - [1] Ahmad AA. Moments of order statistics from doubly truncated continuous distribution. Statistics 2001; 35: 479-494.
CR  - [2] Ali MM, Pal M, Woo JS. Some exponentiated distributions. Communications for Statistical Applications and Methods 2007; 14(1): 93-109.
CR  - [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.
UR  - https://doi.org/10.20290/aubtdb.326782
L1  - https://dergipark.org.tr/tr/download/article-file/453320
ER  -