Displaying similar documents to “On the two-sided quality control”

Tables for a statistical quality control test

František Rublík, Marta Bognárová (1992)

Applications of Mathematics

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Critical constants for a test of the hypothesis that the mean μ and the standard deviation σ of the normal N ( μ , σ 2 ) population satisfy the constrains μ + c σ M , μ - c σ m , are presented. In this setup m < M are prescribed tolerance limits and c > 0 in a chosen constant.

Tables for the two-sample Haga test of location

Stanislav Hojek (1978)

Aplikace matematiky

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The rank statistic H based on the number of exceeding observations in two samples is suitable for testing difference in location of two samples. This paper contains tables of one-sides significance levels P { H k } for k = 7 , 8 , ... , 11 ; m a x ( 2 , n - 10 ) < m n 25 , k = 9 , 10 , ... , 13 ; m a x ( 2 , n - 15 ) < m n - 10 ; 13 n 25 ; k = 11 , 12 , ... , 15 ; 2 < m n - 15 , 18 n 25 , which includes almost all practically used significance levels for 3 m n 25 , where m , n are the sample sizes.

Bivariate gamma distribution as a life test model

Giri S. Lingappaiah (1984)

Aplikace matematiky

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The bivariate gamma distribution is taken as a life test model to analyse a series system with two dependent components x and y . First, the distribution of a function of x and y , that is, minimum ( x , y ) , is obtained. Next, the reliability of the component system is evaluated and tabulated for various values of the parameters. Estimates of the parameters are also obtained by using Bayesian approach. Finally, a table of the mean and variance of minimum ( x , y ) for various values of the parameters...

The multisample version of the Lepage test

František Rublík (2005)

Kybernetika

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The two-sample Lepage test, devised for testing equality of the location and scale parameters against the alternative that at least for one of the parameters the equality does not hold, is extended to the general case of k > 1 sampled populations. It is shown that its limiting distribution is the chi-square distribution with 2 ( k - 1 ) degrees of freedom. This k -sample statistic is shown to yield consistent test and a formula for its noncentrality parameter under Pitman alternatives is derived. For...