ON LIFETIME ESTIMATION IN THE PRESENCE OF LENGTH-BIASED SAMPLING PLAN

2004 ◽  
Vol 11 (02) ◽  
pp. 187-194 ◽  
Author(s):  
OLCAY AKMAN
Keyword(s):  
Original Model ◽  
Sampling Plan ◽  
Biased Sampling ◽  
Lifetime Estimation ◽  
Biased Distribution ◽  
Length Biased Distribution

In the presence of length-biasedness, a lifetime measure of interest may be estimated in two ways: (i) by modeling the data correctly using a length-biased distribution and using the resulting estimators in the original model as an adjustment, or (ii) by modeling the data correctly using a length-biased distribution, and obtaining the original lifetime measure of interest via a transformation, if one exists. Here we examine sufficiency in information context under transformations.

The Maxwell length-biased distribution: Properties and estimation

2016 ◽  
Vol 11 (1) ◽  
pp. 26-40 ◽  
Author(s):  
Aamir Saghir ◽  
Aneeqa Khadim ◽  
Zhengyan Lin
Keyword(s):  
Biased Distribution ◽  
Length Biased Distribution

ON INEQUALITIES AND SELECTION OF EXPERIMENTS FOR LENGTH BIASED DISTRIBUTIONS

1999 ◽  
Vol 13 (2) ◽  
pp. 169-185 ◽  
Author(s):  
Broderick O. Oluyede
Keyword(s):  
Residual Life ◽  
Cross Entropy ◽  
Mean Residual Life ◽  
Sampling Plans ◽  
Hazard Functions ◽  
Original Distribution ◽  
Entropy Measures ◽  
Selection Of ◽  
Biased Distribution ◽  
Length Biased Distribution

The length biased distribution occurs naturally for some sampling plans in reliability, biometry, and survival analysis. In this note, inequalities for length biased distributions are proved for monotone hazard functions and mean residual life functions. The problem of sampling and selection of experiments from the length biased distribution as opposed to the original distribution is addressed. Certain modified cross-entropy measures are also investigated.

scholarly journals UC1 sampling plan, liquid waste storage tanks, JRC Ispra

2020 ◽  
Vol 6 ◽  
pp. 15 ◽  
Author(s):  
Gunhild von Oertzen ◽  
Olaf Nitzsche ◽  
Artur Hashymov
Keyword(s):  
Liquid Waste ◽  
Sampling Plan ◽  
Biased Sampling ◽  
Non Destructive Testing ◽  
Destructive Testing ◽  
Waste Storage ◽  
Nuclear Site ◽  
Constrained Environments ◽  
Non Destructive

The objective of INSIDER work package 3 (WP 3) is to draft a sampling guide for initial nuclear site characterization in constrained environments, based on a statistical approach. In this paper, deliverable 3.4 (D 3.4) is presented for WP 3, where the strategy developed in deliverables 3.1 (D 3.1) to 3.3 (D 3.3) is applied to the first of three reference use cases representative of existing decommissioning scenarios. The present discussion focuses on use case 1 (UC1): the liquid waste storage facility at the JRC site of Ispra (Italy). The proposed characterization strategy developed in D 3.2 is applied in a step by step approach to analyse the pre-existing information (obtained through the use of a pre-sampling questionnaire), and to utilise the available inputs towards the development of a sampling plan sufficient for allowing radiological characterization. The proposed sampling plan follows a three-step approach, i.e. determination of possible elevation in activity concentration by non-destructive testing, biased sampling of layers identified, and finally unbiased sampling after mixing of tank contents.

scholarly journals Length biased Weighted New Quasi Lindley Distribution: Statistical Properties and Applications

2021 ◽  
pp. 123-136
Author(s):  
Rashid A. Ganaie ◽  
V. Rajagopalan
Keyword(s):  
Information Matrix ◽  
Real Life ◽  
Likelihood Estimation ◽  
Model Parameters ◽  
Data Sets ◽  
Lindley Distribution ◽  
Method Of Maximum Likelihood ◽  
Special Case ◽  
Biased Distribution ◽  
Length Biased Distribution

In this Paper, we have introduced a new version of new quasi lindley distribution known as the length-biased weighted new quasi lindley distribution (LBWNQLD). Length biased distribution is a special case of weighted distribution. The different structural properties of the newly proposed distribution are derived and the model parameters are estimated by using the method of maximum likelihood estimation and also the Fisher’s information matrix have been discussed. Finally, applications to real life two data sets are presented for illustration.

scholarly journals On Asymptotic Representations for Reduced Quantiles in Sampling from a Length-Biased Distribution*

1984 ◽  
Vol 33 (1-2) ◽  
pp. 59-68 ◽  
Author(s):  
Pranab Kumar Sen
Keyword(s):  
Nonparametric Estimation ◽  
Random Variables ◽  
Independent Random Variables ◽  
Asymptotic Representations ◽  
Quantile Processes ◽  
Biased Distribution ◽  
Length Biased Distribution

Nonparametric estimation of the quantiles of a distribution based on a sample from the corresponding length-biased distribution is considered. Along with some representations of this estimator in terms of averages of independent random variables, some limiting results are established. The case of reduced quantile processes is also treated briefly.

scholarly journals A Generalized Transmuted Moment Exponential Distribution: Properties and Application

2019 ◽  
pp. 41-52
Author(s):  
Amal S. Hassan ◽  
Ibrahim B. Abdul-Moniem ◽  
Khater A. E. Gad
Keyword(s):  
Exponential Distribution ◽  
Generating Functions ◽  
Likelihood Estimation ◽  
Real Data ◽  
Data Sets ◽  
New Model ◽  
Parameter Estimators ◽  
New Distribution ◽  
Biased Distribution ◽  
Length Biased Distribution

This paper introduces a new generalization of moment exponential (or length biased) distribution. The new model is referred to as generalized transmuted moment exponential distribution. This model contains some new existing distributions. Structural properties of the suggested distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi entropy are derived. Maximum likelihood estimation is employed to obtain the parameter estimators of the new distribution. We illustrate the importance of the new model by means of three applications to real data sets.

Direct Observation of Monolayer Zones in Al-wt 4% Cu

1990 ◽  
Vol 48 (1) ◽  
pp. 14-15
Author(s):  
B. Jouffrey ◽  
D. Dorignac ◽  
A. Bourret
Keyword(s):  
Solid Solution ◽  
Synchrotron Radiation ◽  
Direct Observation ◽  
Supersaturated Solid Solution ◽  
Original Model ◽  
X Ray ◽  
Image Position

Since the early works on GP zones and the model independently proposed by Preston and Guinier on the first steps of precipitation in supersaturated solid solution of aluminium containing a few percent of copper, many works have been performed to understand the structure of different stages in the sequence of precipitation.The scheme which is generally admitted can be drawn from a work by Phillips.In their original model Guinier and Preston analysed a GP zone as composed of a single (100) copperrich plane surrounded by aluminum atomic planes with a slightly shorter distance from the original plane than in the solid solution.From X-ray measurements it has also been shown that GP1 zones were not only copper monolayer zones. They could be up to a few atomic planes thick. Different models were proposed by Guinier, Gerold, Toman. Using synchrotron radiation, proposals have been recently made.

Biased distribution of trematode metacercariae in the nephric system of Rana tadpoles

2000 ◽  
Vol 252 (4) ◽  
pp. 531-547
Author(s):  
Greg W. Thiemann ◽  
Richard J. Wassersug
Keyword(s):  
Biased Distribution
Sign in / Sign up

Export Citation Format

Share Document