TY - JOUR
AU - Teimouri, Mahdi
AU - Gupta, Arjun K.
PY - 2012/01/01
Y2 - 2024/08/13
TI - On the Weibull record statistics and associated inferences
JF - Statistica
JA - Stat
VL - 72
IS - 2
SE - Articles
DO - 10.6092/issn.1973-2201/3640
UR - https://rivista-statistica.unibo.it/article/view/3640
SP - 145-162
AB - On the basis of some characteristics such as quantile function and skewness coefficient of n th upper/lower record of a given absolutely continuous distribution, as well as a confidence interval for <em>n</em>th upper/lower record statistic of a two-parameter Weibull model, a point estimator for shape parameter of this family also is given. Furthermore, behavior of the skewness coefficient of <em>n</em>th upper/lower record statistic of this family is discussed. Tabulation of the confidence interval of the <em>n</em>th upper/lower record statistics of this family for some levels of confidence and parameters is useful for predicting the future <em>n</em>th<br />upper/lower record. The performance of the given shape estimator is measured through a simulated data set comparison with the maximum likelihood estimation. Also, skewness analysis of the <em>n</em>th upper/lower record statistic is useful for estimating the <em>n</em>th upper/lower record statistic of this family as it will be discussed.
ER -