scholarly journals Exact Moments of order Statistics from The exponentiated Lomax distribution

2016 ◽  
Vol 12 (3) ◽  
pp. 6074-6086
Author(s):  
Nasr Ibrahim Rashwan
Keyword(s):  
Probability Density Function ◽  
Order Statistics ◽  
Recurrence Relations ◽  
Exact Form ◽  
Single Product ◽  
Lomax Distribution ◽  
Percentage Points ◽  
Moments Of Order Statistics ◽  
Single And Product Moments ◽  
Skewness And Kurtosis

In this paper, order statistics from the exponentiated Lomax distribution (ELD) are obtained. Exact form for the single, product and Triple moment of order statistics from ELD are derived. Measures of skewness and kurtosis of the probability density function of the rth order statistic are presented. Some recurrence relations for the single and product moments of order statistics from ELD are established. Also, the percentage points of single order statistics from ELD are computed.

scholarly journals Expectation Properties of Generalized Order Statistics from Poisson Lomax Distribution

2020 ◽  
Vol 9 (3) ◽  
pp. 735-747
Author(s):  
Haseeb Athar ◽  
Zubdahe Noor ◽  
Saima Zarrin ◽  
Hanadi N.S. Almutairi
Keyword(s):  
Order Statistics ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lifetime Data ◽  
Product Moments ◽  
Lomax Distribution ◽  
Single And Product Moments ◽  
Generalized Order

The Poisson Lomax distribution was proposed by [3], as a useful model for analyzing lifetime data. In this paper,we have derived recurrence relations for single and product moments of generalized order statistics for this distribution. Further, characterization of the distribution is carried out. Some deductions and particular cases are also discussed.

scholarly journals Characterization for gompertz distribution based on general progressively type-ii right censored order statistics

2017 ◽  
Vol 5 (1) ◽  
pp. 52
Author(s):  
M. M. Mohie El-Din ◽  
A. Sadek ◽  
Marwa M. Mohie El-Din ◽  
A. M. Sharawy
Keyword(s):  
Distribution Function ◽  
Probability Density Function ◽  
Probability Density ◽  
Order Statistics ◽  
Recurrence Relations ◽  
Type Ii ◽  
Gompertz Distribution ◽  
Product Moments ◽  
Right Censored Order Statistics ◽  
Single And Product Moments

In this article, we establish recurrence relations for single and product moments based on general progressively Type-II right censored order statistics (GPTIICOS). Characterization for Gompertz distribution (GD) using relation between probability density function and distribution function is obtained. Moreover recurrence relations of single and product moments based on GPTIICOS are also used to characterize the distribution. Further, the results are specialized to the progressively Type-II right censored order statistics (PTIICOS).

scholarly journals The recurrence relations of order statistics moments for power Lomax distribution

2018 ◽  
Vol 52 (1) ◽  
pp. 75-90
Author(s):  
DEVENDRA KUMAR ◽  
SANKU DEY ◽  
MAZEN NASSAR ◽  
PREETI YADAV
Keyword(s):  
Bladder Cancer ◽  
Order Statistics ◽  
Recurrence Relations ◽  
Sample Sizes ◽  
Double Product ◽  
Cancer Data ◽  
Lomax Distribution ◽  
The Mean ◽  
Mean Variance ◽  
Skewness And Kurtosis

The power Lomax distribution due to Rady et al. (2016) is an alternative to and provides better fits for bladder cancer data (Lee and Wang, 2003) than the Lomax, exponential Lo- max, Weibull Lomax, extended Poisson Lomax and beta Lomax distributions. Exact explicit expressions as well as recurrence relations for the single and double (product) moments have been derived from the power Lomax distribution. These recurrence relations enable computation of the mean, variance, skewness and kurtosis of all order statistics for all sample sizes in a simple and efficient manner. By using these relation, the mean, variance, skewness and kurtosis of order statistics for sample sizes up to 5 for various values of shape and scale parameters are tabulated. Finally, remission times (in months) of bladder cancer patients have been analyzed to show how the proposed relations work in practice.

scholarly journals Power generalized Weibull distribution based on order statistics

2017 ◽  
Vol 51 (1) ◽  
pp. 61-78 ◽  
Author(s):  
DEVENDRA KUMAR ◽  
SANKU DEY
Keyword(s):  
Weibull Distribution ◽  
Order Statistics ◽  
Recurrence Relations ◽  
Sample Sizes ◽  
Efficient Manner ◽  
Product Moments ◽  
Scale Parameters ◽  
Moments Of Order Statistics ◽  
Single And Product Moments

In this article, we establish recurrence relations for the single and product moments of order statistics from the power generalized Weibull (PGW) distribution due to Bagdonovacius and Nikulin (2002). These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we have obtained the means, variances and covariances of order statistics from samples of sizes up to 5 for various values of the shape and scale parameters and present them in figures.

scholarly journals On the quotient moment of lower generalized order statistics and characterization

2015 ◽  
Vol 11 (1) ◽  
pp. 73-89
Author(s):  
Devendra Kumar
Keyword(s):  
Order Statistics ◽  
Recurrence Relation ◽  
Conditional Expectation ◽  
General Class ◽  
Recurrence Relations ◽  
Generalized Order Statistics ◽  
Lower Records ◽  
Moments Of Order Statistics ◽  
Generalized Order

Abstract In this paper we consider general class of distribution. Recurrence relations satisfied by the quotient moments and conditional quotient moments of lower generalized order statistics for a general class of distribution are derived. Further the results are deduced for quotient moments of order statistics and lower records and characterization of this distribution by considering the recurrence relation of conditional expectation for general class of distribution satisfied by the quotient moment of the lower generalized order statistics.

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