Properties of frequency distributions induced by general 'up-and-down' methods for estimating quantiles

被引：19

作者：

Giovagnoli, A

Pintacuda, N

机构：

[1] Univ Bologna, Dept Stat Sci, I-40126 Bologna, Italy

[2] Univ Pavia, Dept Math, I-27100 Pavia, Italy

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1998年 / 74卷 / 01期

关键词：

adaptive designs; invariant distribution; Markovian experiments; quantal response curve; sequential designs; sequential experiments;

D O I：

10.1016/S0378-3758(98)00076-7

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper a general definition of an up-and-down algorithm for estimating given quantiles of a binary response curve is suggested. Conditions are given for the distribution to which the design converges to be unimodal, for its mode to be 'next' to the quantile specified and for the distribution to be more concentrated around the mode. Results of Derman (1957) and of Durham and Flournoy (1994) are extended. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：51 / 63

页数：13

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