scholarly journals More efficient approaches to the exponentiated half-logistic distribution based on record values

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Jung-In Seo ◽  
Suk-Bok Kang
Keyword(s):  
Record Values ◽  
Logistic Distribution

Some Characterizations of the Log-Logistic Distribution

2018 ◽  
Vol 33 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Mohammad Ahsanullah ◽  
Ayman Alzaatreh
Keyword(s):  
Order Statistics ◽  
Random Variable ◽  
Record Values ◽  
Skewed Distribution ◽  
Logistic Distribution ◽  
Limiting Distributions ◽  
Extreme Order Statistics

Abstract The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

scholarly journals The Type I Generalized Half-Logistic Distribution Based on Upper Record Values

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Devendra Kumar ◽  
Neetu Jain ◽  
Shivani Gupta
Keyword(s):  
Maximum Likelihood ◽  
Confidence Intervals ◽  
Record Values ◽  
Maximum Likelihood Estimates ◽  
Logistic Distribution ◽  
Type I ◽  
Special Cases ◽  
Upper Record Values ◽  
Upper Record ◽  
First Four Moments

We consider the type I generalized half-logistic distribution and derive some new explicit expressions and recurrence relations for marginal and joint moment generating functions of upper record values. Here we show the computations for the first four moments and their variances. Next we show that results for record values of this distribution can be derived from our results as special cases. We obtain the characterization result of this distribution on using the recurrence relation for single moment and conditional expectation of upper record values. We obtain the maximum likelihood estimators of upper record values and their confidence intervals. Also, we compute the maximum likelihood estimates of the parameters of upper record values and their confidence intervals. At last, we present one real case data study to emphasize the results of this paper.

scholarly journals The extended generalized half logistic distribution based on ordered random variables

2015 ◽  
Vol 46 (3) ◽  
pp. 245-256 ◽  
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Generating Functions ◽  
Conditional Expectation ◽  
Recurrence Relations ◽  
Random Variables ◽  
Record Values ◽  
Joint Moment ◽  
Generalized Order Statistics ◽  
Logistic Distribution ◽  
Generalized Order

In this paper, we considered an extended generalized half logistic distribution and derived some explicit expressions and recurrence relations for marginal and joint moment generating functions of generalized order statistics from extended generalized half logistic distribution. The results for record values and order statistics are deduced from the result. Finally, we obtained the characterizing result of this distribution on using the conditional expectation of generalized order statistics.

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