scholarly journals Estimation of distribution parameters from data with observations below detection limit with an example from South Nahanni River area, District of Mackenzie

1990 ◽  
Author(s):  
C F Chung ◽  
W A Spirito
Keyword(s):  
Detection Limit ◽  
Distribution Parameters ◽  
Estimation Of Distribution

scholarly journals INSPECTION PROGRAM DEVELOPMENT FOR FATIGUE CRACK GROWTH MODEL WITH TWO RANDOM PARAMETERS/APŽIŪRŲ PROGRAMOS KŪRIMAS NUOVARGIO PLYŠIO AUGIMO MODELIUI SU DVIEM ATSITIKTINIAIS PARAMETRAIS

Aviation ◽  
2008 ◽  
Vol 12 (2) ◽  
pp. 33-40 ◽  
Author(s):  
Yuri Paramonov ◽  
Andrey Kuznetsov
Keyword(s):  
Critical Size ◽  
Fatigue Cracks ◽  
Random Variable ◽  
Fatigue Curve ◽  
Exponential Approximation ◽  
Random Parameters ◽  
Distribution Parameters ◽  
Estimation Of Distribution ◽  
Set Function ◽  
Crack Growth Model

To keep the fatigue failure probability of an aircraft fleet at or below a certain level, an inspection program is appointed to discover fatigue cracks before they decrease the residual strength of some structurally significant item of the airframe lower than the level allowed by regulations. In this article, the p‐set function for random vector, which, in fact, is a generalization of p‐bound for random variable, and minimax approach to the problem of inspection number choice are used. It is supposed that the exponential approximation of a fatigue curve with two random parameters can be used in the interval when the fatigue curve becomes detectable and then grows to critical size. For estimation of distribution parameters, results of an approval test are used. A numerical example is given. Santrauka Šiame tyrime nagrinėtas apžiūrų, skirtų surasti nuovargio įtrūkimus jėginiuose elementuose iki liekamojo stiprumo sumažėjimo žemiau leistinos ribos, programos planavimas. Čia apžiūrų skaičiui nustatyti buvo naudojamas mini-maksimalus statistinis sprendinys ir atsitiktinio vektoriaus p-aibės sąvoka, kuri yra atsitiktinio vektoriaus p-ribos apibendrinta sąvoka. Taikyta prielaida, kad nuovargio įtrūkimo didėjimo kreivę galima aproksimuoti eksponentiškai laiko intervale nuo to momento, kai plyšys tampa matomas ir iki kritinio dydžio. Parametrų pasiskirstymo įvertinimui naudoti bandymo rezultatai. Daroma prielaida, kad jei bandymo rezultatai yra nepatenkinami, tuomet turi būti ruošiamas naujas, labai pagerintas bandomojo gaminio projektas. Pateikti ir skaitiniai pavyzdžiai.

Estimation of distribution parameters of mixed failure mode data

1997 ◽  
Vol 3 (2) ◽  
pp. 120-135 ◽  
Author(s):  
Rudi H.P.M. Arts ◽  
Anuj Saxena ◽  
Gerald M. Knapp
Keyword(s):  
Failure Mode ◽  
Distribution Parameters ◽  
Estimation Of Distribution

scholarly journals Simplified Method of GED Distribution Parameters Estimation

2012 ◽  
Vol 10 (2) ◽  
pp. 35-49
Author(s):  
Jan Purczyński
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Simple Relation ◽  
Parameters Estimation ◽  
Likelihood Method ◽  
Test Statistic ◽  
Mathematical Functions ◽  
Simplified Method ◽  
Distribution Parameters ◽  
Estimation Of Distribution

Simplified Method of GED Distribution Parameters EstimationIn this paper a simplified method of estimating GED distribution parameters has been proposed. The method uses first, second and 0.5-th order absolute moments. Unlike in maximum likelihood method, which involves solving a set of equations including special mathematical functions, the solution is given in the form of a simple relation. Application of three different approximations of Euler's gamma function value results in three different sets of results for which the χ2test is conducted. As a final solution (estimation of distribution parameters) the set is chosen which yields the smallest value of the χ2test statistic. The method proposed in this paper yields the χ2test statistic value which does not exceed the value of statistic for a distribution with parameters obtained with the maximum likelihood method.

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