✦ LIBER ✦
Properties of frequency distributions induced by general ‘up-and-down’ methods for estimating quantiles
✍ Scribed by Alessandra Giovagnoli; Nicolò Pintacuda
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 97 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper a general deÿnition 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 speciÿed and for the distribution to be more concentrated around the mode. Results of Derman (1957) and of Durham and Flournoy (1994) are extended.