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一种二元 t 分布及其应用
A particular bivariate t-distribution is defined and investigated. Included is a discussion of how to compute probabilities for this distribution. Applications involve the construction of double sample tests for hypotheses pertaining to the mean of a normal distribution with unknown variance. Some bounds are given for the error incurred when the two component variables are provisionally assumed to be independent.
关于一种两阶段抽样检验的札记
A double sample test for a hypothesis concerning the mean μ of a normal random variable with unknown variance σ2 is presented in this note. This test is an alternative to the usual single sample t test and is made by taking samples at two stages. After the first sample has been observed the hypothesis is rejected, accepted or a second sample is taken. This double sample test is a modification of a double sample test suggested by D. Owen. However, for the test being suggested…
关于双样本检验的一则札记
A double sample test for a hypothesis concerning the mean μ of a normal random variable with unknown variance σ2 is presented in this note. This test is an alternative to the usual single sample t test and is made by taking samples at two stages. After the first sample has been observed the hypothesis is rejected, accepted or a second sample is taken. This double sample test is a modification of a double sample test suggested by D. Owen. However, for the test being suggested…