scholarly journals Estimation of Past Entropy in Length-Biased Data

2022 ◽  
Vol 15 (2) ◽  
pp. 363-380
Author(s):  
Anis Iranmanesh ◽  
Farzaneh Oliazadeh ◽  
Vahid Fakoor ◽  
◽  
◽  
...  
Keyword(s):  
Past Entropy

scholarly journals Residual and Past Entropy for Concomitants of Ordered Random Variables of Morgenstern Family

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
M. M. Mohie EL-Din ◽  
M. M. Amein ◽  
Nahed S. A. Ali ◽  
M. S. Mohamed
Keyword(s):  
Order Statistics ◽  
Linear Transformation ◽  
Random Variables ◽  
Generalized Order Statistics ◽  
The Past ◽  
Different Types ◽  
Past Entropy ◽  
Past Life ◽  
Family Based ◽  
Generalized Order

For a system, which is observed at timet, the residual and past entropies measure the uncertainty about the remaining and the past life of the distribution, respectively. In this paper, we have presented the residual and past entropy of Morgenstern family based on the concomitants of the different types of generalized order statistics (gos) and give the linear transformation of such model. Characterization results for these dynamic entropies for concomitants of ordered random variables have been considered.

Bivariate extension of generalized cumulative past entropy

2017 ◽  
Vol 47 (8) ◽  
pp. 1962-1977 ◽  
Author(s):  
Amarjit Kundu ◽  
Chanchal Kundu
Keyword(s):  
Past Entropy

scholarly journals Bivariate extension of (dynamic) cumulative past entropy

2016 ◽  
Vol 46 (9) ◽  
pp. 4163-4180 ◽  
Author(s):  
Amarjit Kundu ◽  
Chanchal Kundu
Keyword(s):  
Past Entropy

scholarly journals Bivariate Extension of Past Entropy

2020 ◽  
Vol 19 (1) ◽  
pp. 185-208
Author(s):  
Ganapathi Rajesh ◽  
Enchakudiyil Ibrahim Abdul-Sathar ◽  
Krishnan Vijayalekshmi Ammal Reshmi ◽  
◽  
◽  
...  
Keyword(s):  
Past Entropy

Some results on generalized past entropy

2006 ◽  
Vol 136 (10) ◽  
pp. 3659-3674 ◽  
Author(s):  
Asok K. Nanda ◽  
Prasanta Paul
Keyword(s):  
Past Entropy

PROPERTIES FOR GENERALIZED CUMULATIVE PAST MEASURES OF INFORMATION

2018 ◽  
Vol 34 (1) ◽  
pp. 92-111 ◽  
Author(s):  
Camilla Calì ◽  
Maria Longobardi ◽  
Jorge Navarro
Keyword(s):  
Distribution Function ◽  
Probability Density Function ◽  
Survival Function ◽  
Residual Entropy ◽  
Coherent Systems ◽  
Underlying Distribution ◽  
Information Measures ◽  
Cumulative Residual Entropy ◽  
Past Entropy ◽  
Cumulative Residual

AbstractThe Shannon entropy based on the probability density function is a key information measure with applications in different areas. Some alternative information measures have been proposed in the literature. Two relevant ones are the cumulative residual entropy (based on the survival function) and the cumulative past entropy (based on the distribution function). Recently, some extensions of these measures have been proposed. Here, we obtain some properties for the generalized cumulative past entropy. In particular, we prove that it determines the underlying distribution. We also study this measure in coherent systems and a closely related generalized past cumulative Kerridge inaccuracy measure.

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