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Tables for a statistical quality control test

František Rublík, Marta Bognárová (1992)

Applications of Mathematics

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

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.

Tail approximations for samples from a finite population with applications to permutation tests

Zhishui Hu, John Robinson, Qiying Wang (2012)

ESAIM: Probability and Statistics

This paper derives an explicit approximation for the tail probability of a sum of sample values taken without replacement from an unrestricted finite population. The approximation is shown to hold under no conditions in a wide range with relative error given in terms of the standardized absolute third moment of the population, β3N. This approximation is used to obtain a result comparable to the well-known Cramér large deviation result in the independent case, but with no restrictions on the sampled...

Tail approximations for samples from a finite population with applications to permutation tests

Zhishui Hu, John Robinson, Qiying Wang (2012)

ESAIM: Probability and Statistics

This paper derives an explicit approximation for the tail probability of a sum of sample values taken without replacement from an unrestricted finite population. The approximation is shown to hold under no conditions in a wide range with relative error given in terms of the standardized absolute third moment of the population, β3N. This approximation is used to obtain a result comparable to the well-known Cramér large deviation result in the independent ...

Tail orderings and the total time on test transform

Jarosław Bartoszewicz (1996)

Applicationes Mathematicae

The paper presents some connections between two tail orderings of distributions and the total time on test transform. The procedure for testing the pure-tail ordering is proposed.

Tamaño y frecuencia de muestreo en gráficos de control.

Carmen Capilla Romá, Rafael Romero Villafranca (1989)

Qüestiió

Se analiza la elección óptima del tamaño y frecuencia de muestreo en gráficos de medias. Asumiendo que el coste total del muestreo es proporcional al número total de unidades muestreadas, el procedimiento óptimo depende de la magnitud de la desviación respecto del nominal que se considere relevante, que a su vez está relacionada con la capacidad del proceso. Se obtiene que, en general, a medida que aumenta dicha capacidad es aconsejable reducir el tamaño de la muestra e incrementar la frecuencia...

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