English

On the Optimality in General Sense for Odd-Block Search

Probability 2014-11-24 v1 Optimization and Control

Abstract

In his classical article[3](1953), J.Kiefer introduced the Fibonacci search as a direct optimal method. The optimality was proved under the restriction: the total number of tests is given in advance and fixed. To avoid this restriction, some different concepts of optimality were proposed and some corresponding optimal me\-thods were obtained in [1], [2], [5] and [6]. In particular, the even-block search was treated in [1]. This paper deals with the odd-block search. The main result is Theorem (1.15).

Keywords

Cite

@article{arxiv.1411.5748,
  title  = {On the Optimality in General Sense for Odd-Block Search},
  author = {Mu-Fa Chen and Dan-Hua Huang},
  journal= {arXiv preprint arXiv:1411.5748},
  year   = {2014}
}

Comments

Typos are corrected in this version

R2 v1 2026-06-22T07:06:47.943Z