Smallest d items of the combined sample

Reference no: EM13993323

Using the notation of this section, let U be the number of observed values of X in the smallest d items of the combined sample of m + n items.

Argue that

Pr (U = u) = ( )(d:u)/( m ;"). u = 0, 1, . . . , m.

The statistic U could be used to test the equality of the (lOOp)th percentiles, where (m + n)p = d, of the distributions of X and Y.

Reference no: EM13993323

Questions Cloud

Describe significant cultural issues and challenges : Describe significant cultural issues and challenges that contribute to cybersecurity threats that can generally be linked to sources in the Middle East and Africa.

Order statistics of a random sample of size : Let Y1 Y2 Y3 Y4 be the order statistics of a random sample of size n = 4 from a continuous-type distribution with distribution function F{ x) and unknown 75th percentile eo.7.5·

Compute the mean and variance : Modify the regular one-sample Wilcoxon W by replacing the ranks 1, 2, 3, 4, 5, 6, 7, 8 by the scores 1, 1, 2, 2, 2, 2, 3, 3, to obtain W1. Compute the mean and variance of W1.

How much energy is available to molly for the run : The kinetic energy is transferred to the pole, which is compressed like a spring of elastic constant of 2720 N/m; Air resistance energy loss on the way up is 300 J, and as she crosses the bar she has a horizontal speed of 2.00 m/s. If Molly rises ..

Smallest d items of the combined sample : Using the notation of this section, let U be the number of observed values of X in the smallest d items of the combined sample of m + n items.

Distributions against the alternative hypothesis : If the exact probabilities are too difficult to determine for m = 9 and n = 12, approximate these probabilities.

How convincing do you find arnauld''s objection to descartes : The point of this paper is to explain and evaluate the debate between Descartes and Arnauld over a specific argument for Cartesian dualism. Do not Discuss your own personal opinions about dualism, and do not discuss other possible argument for or ..

Explain the differentiation theory using specific examples : Explain the differentiation theory using specific examples. Include examples from the research on hearing, pattern perception, and intermodal perception.

Compare formal and informal methods of hazard analysis : Compare and contrast formal and informal methods of hazard analysis. Compare and contrast inductive and deductive methods of hazard analysis and What is the essential problem in safety

User Account

All Pages