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