Some statistical test methods on "fat tail" distribution of time series are obtained by using properties of extreme value theory and extreme index estimator under large sample.

使用极值理论和极值指数估计量的性质，在大样本的情况下得到序列分布“肥尾”现象的检验方法。

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Then, we studied a few of properties of negative binomial distribution and the uniformly unbiased estimator of the parameter, and it's biological significances were explained in Epidemiology.

给出了负二项分布的分解定理，进一步研究了负二项分布的有关性质及参数的无偏一致估计，以及在流行病学该分布的生物学意义。

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The Bahadur representations for this quantile estimator are established in order to derive asymptotic properties of the sequential fixed-width confidence intervals estimation for quantiles.

基于左截断右删失数据下的乘积限估计构造了分位数固定宽度序贯置信区间及其估计，研究了序贯置信区间估计的渐近性质。

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