Life tests with periodic change in the scale parameter of a Weibull distribution

1974 ◽  
Vol 13 (6) ◽  
pp. 445
Keyword(s):  
Weibull Distribution ◽  
Scale Parameter ◽  
Periodic Change ◽  
Life Tests

Optimal Design of Reliability Acceptance Sampling Plan Based on Data Obtained from Partially Accelerated Life Test (PALT)

2019 ◽  
Vol 27 (02) ◽  
pp. 2040002
Author(s):  
M. Kumar ◽  
P. N. Bajeel ◽  
P. C. Ramyamol
Keyword(s):  
Weibull Distribution ◽  
Accelerated Life Test ◽  
Maximum Likelihood Estimates ◽  
Acceptance Sampling ◽  
Accelerated Life Tests ◽  
Acceptance Sampling Plan ◽  
Accelerated Life ◽  
Acceptance Sampling Plans ◽  
Exact Distributions ◽  
Life Tests

In this paper, constant–stress partially accelerated life tests (PALT) are considered for a product with the assumption that the lifetime of the product follows Weibull distribution with known shape parameter and unknown scale parameter. Based on data obtained using Type-II censoring, the maximum likelihood estimates (MLEs) of the Weibull parameters and acceleration factor are obtained assuming linear and Arrhenius relationships with the lifetime characteristics and stress. Exact distributions of the MLEs of the parameters of Weibull distribution are also obtained. Optimal acceptance sampling plans are developed using both linear and Arrhenius relationships. Some numerical results are also presented to illustrate the resulted test plans.

Using Weibull Distribution for Modeling Bimodal Diffusion Curves: A Naive Framework to Study Product Life Cycle

2019 ◽  
Vol 16 (07) ◽  
pp. 1950050
Author(s):  
Adarsh Anand ◽  
Richie Aggarwal ◽  
Ompal Singh
Keyword(s):  
Weibull Distribution ◽  
Product Life Cycle ◽  
Scale Parameter ◽  
Functional Model ◽  
Real Life ◽  
Step Function ◽  
Unknown Parameters ◽  
Consumer Durables ◽  
Study Product ◽  
Better Than

With the purpose of understanding differing shapes of sales curve (unimodal and bimodal) this paper discusses a naive way for viewing the diffusion process for consumer durables. In this paper, a step functional model involving two-step Weibull distribution with four unknown parameters is characterized wherein the shape of the density function of the models depends upon the shape and scale parameter of Weibull distribution. Empirical analysis on real life sales datasets indicates that the Weibull step function model is more flexible and fits better than the other models.

Optimum Accelerated Life Tests with a Nonconstant Scale Parameter

Technometrics ◽  
1994 ◽  
Vol 36 (1) ◽  
pp. 71 ◽  
Author(s):  
Carol A. Meeter ◽  
William Q. Meeker
Keyword(s):  
Scale Parameter ◽  
Accelerated Life Tests ◽  
Accelerated Life ◽  
Life Tests

Lifetime Estimation for Web Game Based on Weibull Distribution

2014 ◽  
Vol 539 ◽  
pp. 456-459
Author(s):  
Hai Shu Yu ◽  
Yan Hua Yuan
Keyword(s):  
Weibull Distribution ◽  
Shape Parameter ◽  
Scale Parameter ◽  
Likelihood Estimation ◽  
Statistic Analysis ◽  
Lifetime Data ◽  
Lifetime Estimation ◽  
Proposed Model ◽  
Two Parameter ◽  
The Web

In order to make statistic analysis on lifetime data for web game, the two-parameter Weibull distribution was applied to describe its distribution. The shape parameter and the scale parameter were given by maximum likelihood estimation. When a web game followed Weibull distribution, the lifetime parameters are calculated via Matlab. The results show that the proposed model is appropriate to estimate the web game lifetime.

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