title: Estimating the number of double-strand breaks formed during meiosis from partial observation.
abstract: Analyzing the basic mechanism of DNA double-strand breaks (DSB) formation during meiosis is important for understanding sexual reproduction and genetic diversity. The location and amount of meiotic DSBs can be examined by using a common molecular biological technique called Southern blotting, but only a subset of the total DSBs can be observed; only DSB fragments still carrying the region recognized by a Southern blot probe are detected. With the assumption that DSB formation follows a nonhomogeneous Poisson process, we propose two estimators of the total number of DSBs on a chromosome: (1) an estimator based on the Nelson-Aalen estimator, and (2) an estimator based on a record value process. Further, we compared their asymptotic accuracy.
authors.affiliation: Graduate School of Accouting, Waseda University, Shinjuku, Tokyo. toyoizumi@waseda.jp
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Toyoizumi
authors.forename: Hideo
authors.initials: H
authors.lastname: Tsubouchi
mesh_terms: D015139:Blotting, Southern / Q000379:methods; D002875:Chromosomes / Q000235:genetics*; D004247:DNA / Q000737:chemistry* / Q000235:genetics*; D053903:DNA Breaks, Double-Stranded; D008540:Meiosis / Q000235:genetics*; D011995:Recombination, Genetic
chemical_list: D004247:DNA