Statistical Inference about the Shape Parameter of the New Two-parameter Bathtub-shaped Lifetime Distribution

2004 ◽  
Vol 20 (6) ◽  
pp. 607-616 ◽  
Author(s):  
Jong-Wuu Wu ◽  
Hai-Lin Lu ◽  
Chong-Hong Chen ◽  
Chun-Hsien Wu
Keyword(s):  
Statistical Inference ◽  
Shape Parameter ◽  
Lifetime Distribution ◽  
Two Parameter

scholarly journals Estimation of the G2P Design Storm from a Rainfall Convectivity Index

Water ◽  
2021 ◽  
Vol 13 (14) ◽  
pp. 1943
Author(s):  
Rosario Balbastre-Soldevila ◽  
Rafael García-Bartual ◽  
Ignacio Andrés-Doménech
Keyword(s):  
Shape Parameter ◽  
Rainfall Intensity ◽  
Analytical Relationship ◽  
Urban Drainage ◽  
Practical Application ◽  
Resolution Time ◽  
Simple Method ◽  
Design Storm ◽  
Intensity Duration Frequency ◽  
Two Parameter

The two-parameter gamma function (G2P) design storm is a recent methodology used to obtain synthetic hyetographs especially developed for urban hydrology applications. Further analytical developments on the G2P design storm are presented herein, linking the rainfall convectivity n-index with the shape parameter of the design storm. This step can provide a useful basis for future easy-to-handle rainfall inputs in the context of regional urban drainage studies. A practical application is presented herein for the case of Valencia (Spain), based on high-resolution time series of rainfall intensity. The resulting design storm captures certain internal statistics and features observed in the fine-scale rainfall intensity historical records. On the other hand, a direct, simple method is formulated to derivate the design storm from the intensity–duration–frequency (IDF) curves, making use of the analytical relationship with the n-index.

scholarly journals Parameter estimation for a two-parameter bathtub-shaped lifetime distribution

2012 ◽  
Vol 36 (11) ◽  
pp. 5380-5392 ◽  
Author(s):  
Ammar M. Sarhan ◽  
D.C. Hamilton ◽  
B. Smith
Keyword(s):  
Parameter Estimation ◽  
Lifetime Distribution ◽  
Two Parameter

A New Technique for Optimization of Product Acceptance Process in Terms of Misclassification Probability

2018 ◽  
pp. 1-32
Author(s):  
Nicholas A. Nechval ◽  
Konstantin N. Nechval
Keyword(s):  
Weibull Distribution ◽  
Optimization Technique ◽  
Parametric Uncertainty ◽  
Lifetime Distribution ◽  
Statistical Quality Control ◽  
Misclassification Probability ◽  
Distribution Parameters ◽  
A New Technique ◽  
Two Parameter

A product acceptance process is an inspecting one in statistical quality control or reliability tests, which are used to make decisions about accepting or rejecting lots of products to be submitted. This process is important for industrial and business purposes of quality management. To determine the optimal parameters of the product acceptance process under parametric uncertainty of underlying lifetime models (in terms of misclassification probability), a new optimization technique is proposed. The most popular lifetime distribution used in the field of product acceptance is a two-parameter Weibull distribution, with the assumption that the shape parameter is known. Such oversimplified assumptions can facilitate the follow-up analyses, but may overlook the fact that the lifetime distribution can significantly affect the estimation of the failure rate of a product. Therefore, the situations are also considered when both Weibull distribution parameters are unknown. An illustrative numerical example is given.

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.

scholarly journals Estimation of the scale parameter of gamma model in presence of outlier observations

1990 ◽  
Vol 13 (1) ◽  
pp. 121-127 ◽  
Author(s):  
M. E. Ghitany
Keyword(s):  
Shape Parameter ◽  
Scale Parameter ◽  
Point Estimation ◽  
Random Shape ◽  
Gamma Model ◽  
Squared Error Loss Function ◽  
Squared Error Loss ◽  
Testing Model ◽  
Squared Error ◽  
Two Parameter

This paper considers the Bayesian point estimation of the scale parameter for a two-parameter gamma life-testing model in presence of several outlier observations in the data. The Bayesian analysis is carried out under the assumption of squared error loss function and fixed or random shape parameter.

Integral Methods for Turbulent Boundary Layers in Pressure Gradients

1972 ◽  
Vol 16 (03) ◽  
pp. 191-204
Author(s):  
Paul S. Granville
Keyword(s):  
Shear Stress ◽  
Boundary Layers ◽  
Shape Parameter ◽  
Turbulent Boundary Layers ◽  
Stress Factors ◽  
Quasi Equilibrium ◽  
Pressure Gradients ◽  
Equilibrium Conditions ◽  
Integral Methods ◽  
Two Parameter

Shape parameter differential equations are developed for turbulent boundary layers in pressure gradients incorporating two-parameter velocity profiles. Energy and entrainment methods are included. Shear stress factors are explicitly developed for equilibrium and quasi-equilibrium conditions.

Improved statistical inference for the two-parameter Birnbaum–Saunders distribution

2007 ◽  
Vol 51 (9) ◽  
pp. 4656-4681 ◽  
Author(s):  
Artur J. Lemonte ◽  
Francisco Cribari-Neto ◽  
Klaus L.P. Vasconcellos
Keyword(s):  
Statistical Inference ◽  
Two Parameter
Sign in / Sign up

Export Citation Format

Share Document