Sequential Estimation of the Powers of Normal and Exponential Scale Parameters

Eiichi Isogai; Muktar Ali; Chikara Uno

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Sequential Estimation of the Powers of Normal and Exponential Scale Parameters

机译：正态和指数尺度参数的幂的顺序估计

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摘要

We consider the bounded risk point estimation problem of the powers of a normal scale parameter and the problem of minimum risk point estimation of the powers of a negative exponential scale parameter. We propose fully sequential procedures and derive second order approximations to their average sample sizes and risks. Bias-corrected procedures are also proposed for both problems.

机译：我们考虑正尺度参数幂的有界风险点估计问题和负指数尺度参数幂的最小风险点估计问题。我们提出完全顺序的程序，并推导其平均样本数量和风险的二阶近似值。还针对这两个问题提出了偏差校正程序。

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来源
《Sequential analysis》 |2003年第2期|p.129-149|共21页
作者
Eiichi Isogai; Muktar Ali; Chikara Uno;
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作者单位

Department of Mathematics, Niigata University, Niigata 950-2181, Japan;

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原文格式 PDF
正文语种 eng
中图分类统计学;
关键词
bounded risk; powers of scale parameter; fully sequential procedure; minimum risk problem; second order approximation; nonlinear renewal theory;

机译：有界风险;规模参数的幂;完全顺序的程序;最小风险问题;二阶逼近;非线性更新理论;

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专利

1. Two-stage sequential procedure for the estimation of the powers of the ratio of two exponential scale parameters [J] . Joycelyn B. Buletic, Daisy Lou L. Polestico Applied mathematical sciences . 2016,第17a20期

机译：两阶段顺序过程，用于估计两个指数比例参数之比的幂
2. SEQUENTIAL POINT ESTIMATION OF THE POWERS OF AN EXPONENTIAL SCALE PARAMETER [J] . MUKTAR ALI, EIICHI ISOGAI Scientiae mathematicae Japonicae . 2003,第1期

机译：指数尺度参数的幂的逐点估计
3. Sequential point estimation of the powers of a normal scale parameter [J] . Chikara Uno, Eiichi Isogai Metrika . 2002,第3期

机译：正常比例参数的幂的顺序点估计
4. The Prolongation for Bayesian estimation of Scale - parameter of Double exponential distribution [C] . Ying Yirong, Zhao Shiyao International Conference on Civil, Transportation and Environment . 2016

机译：双指数分布规模差参数的贝叶斯估计延长
5. On some bounded risk sequential procedures for exponential mean and normal density estimation. [D] . Pepe, William J. 2007

机译：关于指数均值和正态密度估计的一些有界风险顺序程序。
6. Correction: Exponential random graph model parameter estimation for very large directed networks [O] . 2020

机译：校正：非常大的针对网络的指数随机图模型参数估计
7. Sequential Point Estimation of the Powers of an Exponential Scale Parameter (Asymptotic Statistical Theory) [O] . Ali Muktar, Isogai Eiichi 2003

机译：指数尺度参数的幂的顺序点估计（渐近统计理论）
8. Sequential Parameter Estimation in Exponential Autoregressive Processes [R] . Chernick, M. R., Murthy, V. K. 1982

机译：指数自回归过程的序贯参数估计

Sequential Estimation of the Powers of Normal and Exponential Scale Parameters

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