Asymmetry tests for bifurcating auto-regressive processes with missing data

被引：10

作者：

de Saporta, Benoite ^{[1
]}

Gegout-Petit, Anne

Marsalle, Laurence ^{[2
]}

机构：

[1] Univ Bordeaux, GREThA, INRIA Bordeaux Sud Quest Team CQFD, CNRS,IMB,UMR 5113,UMR 5251, F-33405 Talence, France

[2] Univ Lille 1, Lab Paul Painleve, CNRS, UMR 8524, F-59655 Villeneuve Dascq, France

来源：

STATISTICS & PROBABILITY LETTERS | 2012年 / 82卷 / 07期

关键词：

Bifurcating autoregressive processes; Cell division data; Missing data; Two-type Galton-Watson model; Wald's test;

D O I：

10.1016/j.spl.2012.04.003

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：

We present symmetry tests for bifurcating autoregressive (BAR) processes when some data are missing. BAR processes typically model cell division data. Each cell can be of one of two types odd or even. The goal of this paper is to study the possible asymmetry between odd and even cells in a single observed lineage. We first derive asymmetry tests for the lineage itself, modeled by a two-type Galton-Watson process, and then derive tests for the observed BAR process. We present applications on simulated and real data. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1439 / 1444

页数：6

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