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对数正态分布位置指标的置信估计AI 解读

Based on a random sample from the N(ξ, σ1) distribution, we find confidence bands with level 1 − α for exp(ξ +bσ1) for all 6. The method is based on a technique discussed by Kanofeky (1968a, b). Using the likelihood ratio confidence region for (ξ, σ1) (Spjøtvoll, 1972) as starting point we find that the probability that the confidence interval for a particular value of b covers the true value is fairly constant under variation of b, σ and the sample size. This makes it…

对数正态分布位置指标的置信估计AI 解读

Based on a random sample from the N(ξ, σ1) distribution, we find confidence bands with level 1 − α for exp(ξ +bσ1) for all 6. The method is based on a technique discussed by Kanofeky (1968a, b). Using the likelihood ratio confidence region for (ξ, σ1) (Spjøtvoll, 1972) as starting point we find that the probability that the confidence interval for a particular value of b covers the true value is fairly constant under variation of b, σ and the sample size. This makes it…

两个学生化回归系数的联合分布AI 解读

In this note we show that the studentized regression coefficients from a bivariate normal sample have a two-dimensional Student distribution.

两个学生化回归系数的联合分布AI 解读

In this note we show that the studentized regression coefficients from a bivariate normal sample have a two-dimensional Student distribution.