scholarly journals Interval estimation for proportional reversed hazard family based on lower record values

2015 ◽  
Vol 98 ◽  
pp. 115-122 ◽  
Author(s):  
Bing Xing Wang ◽  
Keming Yu ◽  
Frank P.A. Coolen
Keyword(s):  
Interval Estimation ◽  
Record Values ◽  
Lower Record ◽  
Lower Record Values ◽  
Family Based

scholarly journals Interval Estimation of Stress-Strength Reliability Based on Lower Record Values from Inverse Rayleigh Distribution

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Bahman Tarvirdizade ◽  
Hossein Kazemzadeh Garehchobogh
Keyword(s):  
Maximum Likelihood ◽  
Empirical Bayes ◽  
Interval Estimation ◽  
Record Values ◽  
Rayleigh Distribution ◽  
Bayes Estimators ◽  
Credible Sets ◽  
Lower Record ◽  
Lower Record Values ◽  
Empirical Bayes Estimators

We consider the estimation of stress-strength reliability based on lower record values when X and Y are independently but not identically inverse Rayleigh distributed random variables. The maximum likelihood, Bayes, and empirical Bayes estimators of R are obtained and their properties are studied. Confidence intervals, exact and approximate, as well as the Bayesian credible sets for R are obtained. A real example is presented in order to illustrate the inferences discussed in the previous sections. A simulation study is conducted to investigate and compare the performance of the intervals presented in this paper and some bootstrap intervals.

scholarly journals ON ESTIMATION OF STRESS-STRENGTH RELIABILITY USING LOWER RECORD VALUES FROM ODD GENERALIZED EXPONENTIAL - EXPONENTIAL DISTRIBUTION

2021 ◽  
pp. 1-12
Author(s):  
Marwa Mohamed ◽  
Ahmed Reda
Keyword(s):  
Interval Estimation ◽  
Simulated Data ◽  
Real Data ◽  
Record Values ◽  
Point Estimation ◽  
Estimation Methods ◽  
The Real ◽  
Lower Record ◽  
Lower Record Values ◽  
Lower Records

This research paper aims to find the estimated values closest to the true values of the reliability functionunder lower record values and to know how to obtain these estimated values using point estimation methodsor interval estimation methods. This helps researchers later in obtaining values of the reliability function intheory and then applying them to reality which makes it easier for the researcher to access the missing datafor long periods such as weather. We evaluated the stress–strength model of reliability based on point andinterval estimation for reliability under lower records by using Odd Generalize Exponential–Exponentialdistribution (OGEE) which has an important role in the lifetime of data. After that, we compared theestimated values of reliability with the real values of it. We analyzed the data obtained by the simulationmethod and the real data in order to reach certain results. The Numerical results for estimated values ofreliability supported with graphical illustrations. The results of both simulated data and real data gave us thesame coverage.

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.

Reconstruction of the past lower record values in a proportional reversed hazard rate model

Statistics ◽  
2012 ◽  
Vol 48 (2) ◽  
pp. 421-435 ◽  
Author(s):  
B. Khatib ◽  
Jafar Ahmadi ◽  
M. Razmkhah
Keyword(s):  
Hazard Rate ◽  
Record Values ◽  
Rate Model ◽  
Reversed Hazard Rate ◽  
The Past ◽  
Hazard Rate Model ◽  
Lower Record ◽  
Lower Record Values

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.

CHARACTERIZATIONS BASED ON k-TH UPPER AND LOWER RECORD VALUES

2004 ◽  
Vol 37 (2) ◽  
Author(s):  
Mariusz Bieniek ◽  
Dominik Szynal
Keyword(s):  
Record Values ◽  
Lower Record ◽  
Lower Record Values
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