In this paper, the largest and the smallest observations are considered, at the time when a new record of either kind (upper or lower) occurs based on a sequence of independent random variables with identical continuous distributions. We prove that sequences of the residual or past entropy of the current records characterizes F in the family of continuous distributions. The exponential and the Frechet distributions are characterized through maximizing Shannon entropies of these statistics under some constraint.
Ahmadi,J. (2022). Entropy Properties of Certain Record Statistics and Some Characterization Results. Journal of the Iranian Statistical Society, 8(1), 1-13.
MLA
Ahmadi,J. . "Entropy Properties of Certain Record Statistics and Some Characterization Results", Journal of the Iranian Statistical Society, 8, 1, 2022, 1-13.
HARVARD
Ahmadi J. (2022). 'Entropy Properties of Certain Record Statistics and Some Characterization Results', Journal of the Iranian Statistical Society, 8(1), pp. 1-13.
CHICAGO
J. Ahmadi, "Entropy Properties of Certain Record Statistics and Some Characterization Results," Journal of the Iranian Statistical Society, 8 1 (2022): 1-13,
VANCOUVER
Ahmadi J. Entropy Properties of Certain Record Statistics and Some Characterization Results. JIRSS, 2022; 8(1): 1-13.
Journal of the Iranian Statistical Society