CHARACTERIZATION OF DISTRIBUTIONS BASED ON k-TH LOWER RECORD VALUES

2016 ◽  
Vol 52 (2) ◽  
pp. 139-148
Author(s):  
Piotr Pawlas
Keyword(s):  
Record Values ◽  
Characterization Of Distributions ◽  
Lower Record ◽  
Lower Record Values

scholarly journals A Characterization and Recurrence Relations of Moments of the Size-Biased Power Function Distribution by Lower Record Values

2018 ◽  
Vol 7 (5) ◽  
pp. 1
Author(s):  
Shakila Bashir ◽  
Mujahid Rasul
Keyword(s):  
Power Function ◽  
Recurrence Relations ◽  
Survival Function ◽  
Joint Probability ◽  
Record Values ◽  
Cumulative Distribution ◽  
Function Distribution ◽  
Power Function Distribution ◽  
Lower Record ◽  
Lower Record Values

A variety of research papers have been published on record values from various continuous distributions. This paper investigated lower record values from the size-biased power function distribution (LR-SPFD). Some basic properties including moments, skewness, kurtosis, Shannon entropy, cumulative distribution function, survival function and hazard function of the lower record values from SPFD have been discussed. The joint probability density function (pdf) of $n^{th}$ and $m^{th}$ lower record values from SPFD is developed. Recurrence relations of the single and product moments of the LR-SPFD have been derived. A characterization of the lower record values from SPFD is also developed.

Improved estimators of the distribution function based on lower record values

2014 ◽  
Vol 56 (2) ◽  
pp. 453-477 ◽  
Author(s):  
R. Arabi Belaghi ◽  
M. Arashi ◽  
S. M. M. Tabatabaey
Keyword(s):  
Distribution Function ◽  
Record Values ◽  
Lower Record ◽  
Lower Record Values ◽  
Improved Estimators

Asymptotic behavior of the record values in a stationary Gaussian sequence, with applications

2019 ◽  
Vol 69 (3) ◽  
pp. 707-720
Author(s):  
Haroon M. Barakat ◽  
M. A. Abd Elgawad
Keyword(s):  
Asymptotic Behavior ◽  
Weak Convergence ◽  
Sufficient Conditions ◽  
Record Values ◽  
Distribution Functions ◽  
Gaussian Sequence ◽  
Stationary Gaussian Sequence ◽  
Lower Record ◽  
Lower Record Values ◽  
Set Up

Abstract In this paper, we study the limit distributions of upper and lower record values of a stationary Gaussian sequence under an equi-correlated set up. Moreover, the class of limit distribution functions (df’s) of the joint upper (and the lower) record values of a stationary Gaussian sequence is fully characterized. As an application of this result, the sufficient conditions for the weak convergence of the record quasi-range, record quasi-mid-range, record extremal quasi-quotient and record extremal quasi-product are obtained. Moreover, the classes of the non-degenerate limit df’s of these statistics are derived.

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