共查询到19条相似文献,搜索用时 78 毫秒
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关于均匀分布区间长度的区间估计 总被引:17,自引:2,他引:15
陈光曙 《纯粹数学与应用数学》2006,22(3):349-354
给出了均匀分布区间长度的估计量以及概率密度,并给出了区间长度的区间估计. 相似文献
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对区间长度为定值均匀分布位置参数的点估计量进行了研究,得到位置参数点估计量的渐近分布.讨论了渐近分布的相关性质.给出了位置参数的区间估计及其假设检验方法. 相似文献
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王志祥 《纯粹数学与应用数学》2009,25(4):789-793
研究了n维球内均匀分布的参数的点估计与区间估计,利用次序统计量得到了球半径的最大似然估计,在此基础上构造了球半径的无偏估计,并且证明了该无偏估计的相合性.利用构造枢轴量的方法得到了球半径的最短置信区间. 相似文献
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讨论任意m点均匀分布(m≥3)的情况,用m点均匀分布的累积分布函数去逼近连续总体的分布函数,在适当的条件下,证明了用区间删失数据估计分布函数具有收敛速度D(n)-2/9. 相似文献
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王志祥 《数学的实践与认识》2009,39(19)
研究了随机右截尾情形下两个指数分布的参数估计.在两个指数分布的刻度参数都未知时,得到了两个指数分布的刻度参数的最大似然估计与参数比的区间估计. 相似文献
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Asymmetric discrete triangular distributions are introduced in order to extend the symmetric ones serving for discrete associated kernels in the nonparametric estimation for discrete functions. The extension from one to two orders around the mode provides a large family of discrete distributions having a finite support. Establishing a bridge between Dirac and discrete uniform distributions, some different shapes are also obtained and their properties are investigated. In particular, the mean and variance are pointed out. Applications to discrete kernel estimators are given with a solution to a boundary bias problem. 相似文献
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威布尔分布的Bayes可靠性分析 总被引:2,自引:0,他引:2
本文针对两参数的威布尔分布的元件,采用Bayes方法对其可靠性进行分析,文中分别对两种假设情况进行了讨论,第一种情况是形状参数为离散取值,尺度参数为连续取值的情况,第二种情况假设形状参数的先验分布为均匀分布,尺度参数的先验分布为逆伽玛分布,推出了对应的可靠性估计和置信下限估计,并给出了计算算法,最后用实例对算法进行了验证。 相似文献
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We consider the estimation of error variance in the analysis of experiments using two level orthogonal arrays. We address
the estimator which is the minimum of all the estimators which we obtain by pooling some sums of squares for factorial effects.
Under squared error loss, we discuss whether or not this estimator uniformly improves upon the best positive multiple of error
sum of squares. We show that when we have two factorial effects, we obtain uniform improvement. However, we show that when
we have more than two factorial effects, we cannot necessarily obtain uniform improvement. Further, the above results are
applied to the problem of estimating the smallest scale parameter of chi-square distributions. 相似文献
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Kentaro Tanaka Akimichi Takemura 《Annals of the Institute of Statistical Mathematics》2005,57(1):1-19
We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that maximum likelihood estimator
is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(−n
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), 0<d<1, wheren is the sample size. 相似文献
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对混合位置分布族,当混合比已知时,提出了关于分量参数的假设检验和区间估计方法,所提出的方法基于广义枢轴模型.在一定的条件下,检验的实际水平等于名义水平,且各置信域的实际覆盖率等于名义覆盖率.在更一般的场合,检验是相合的,并且各置信域的实际覆盖率趋于名义覆盖率.模拟显示所给的方法是令人满意的. 相似文献
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Periodic review inventory models are widely used in practice, especially for inventory systems in which many different items are purchased from the same supplier. However, most of periodic review models have assumed a fixed length of the review periods. In practice, it is possible that the review periods are of a random (stochastic) length. This paper presents an inventory control model in the case of random review intervals and special sale offer from the supplier. The replenishment interval is assumed to obey from two different distributions, namely, exponential and uniform distributions. Also, shortages are allowed in the term of partial backordering. For this model, its convexity condition is discussed and closed form solutions are proposed. 相似文献
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In this paper, the interval estimation and hypothesis testing of the mixing proportion in mixture distributions are considered. A statistical inferential method is proposed which is inspired by the generalized p-values and generalized pivotal quantity. In some situations, the true levels of the tests given in the paper are equal to nominal levels, and the true coverage of the interval estimation or confidence bounds is also equal to nominal one. In other situations, under mild conditions, the tests are consistent and the coverage of the interval estimations or the confidence bounds is asymptotically equal to nominal coverage. Meanwhile, some simulations are performed which show that our method is satisfactory. 相似文献
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This paper considers the reliability inference for the truncated proportional hazard rate stress–strength model based on progressively Type-II censoring scheme. When the stress and strength variables follow the truncated proportional hazard rate distributions, the maximum likelihood estimation and the pivotal quantity estimation of stress–strength reliability are derived. Based on the percentile bootstrap sampling technique, the 95% confidence interval of stress–strength reliability is obtained, as well as the related coverage percentage. Moreover, based on the Fisher Z transformation and the modified generalized pivotal quantity, the 95% modified generalized confidence interval for the stress–strength reliability is obtained. The performance of the proposed method is evaluated by the Monte Carlo simulation. The numerical results show that the pivotal quantity estimators performs better than the maximum likelihood estimators. At last, two real datasets are analyzed by the proposed methodology for illustrative purpose. The results of real example analysis show that our model can be applied to the practical problem, the truncated proportional hazard rate distribution can fit the failure data better than other distributions, and the algorithms in this paper are suitable to handle the small sample data. 相似文献