On the estimation of spread rate for a biological population

被引:22
作者
Clark, J
Horváth, L
Lewis, M
机构
[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
[2] Duke Univ, Dept Bot & Earth & Ocean Sci, Durham, NC 27708 USA
关键词
moment-generating function; normal distribution; bootstrap;
D O I
10.1016/S0167-7152(00)00123-1
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 propose a nonparametric estimator for the rate of spread of an introduced population. We prove that the limit distribution of the estimator is normal or stable, depending on the behavior of the moment generating function. We show that resampling methods can also be used to approximate the distribution of the estimators. (C) 2001 Elsevier Science B.V. All rights reserved. MSC: primary 62G05; secondary 62G20.
引用
收藏
页码:225 / 234
页数:10
相关论文
共 12 条
[1]  
[Anonymous], LECT NOTES MATH
[2]   SOME ASYMPTOTIC THEORY FOR THE BOOTSTRAP [J].
BICKEL, PJ ;
FREEDMAN, DA .
ANNALS OF STATISTICS, 1981, 9 (06) :1196-1217
[3]  
BINGHAM N. H., 1989, Regular variation
[4]   Why trees migrate so fast: Confronting theory with dispersal biology and the paleorecord [J].
Clark, JS .
AMERICAN NATURALIST, 1998, 152 (02) :204-224
[5]  
Cs_org}o S., 1980, C MATH SOC JANOS BOL, P139
[6]   EMPIRICAL LAPLACE TRANSFORM AND APPROXIMATION OF COMPOUND DISTRIBUTIONS [J].
CSORGO, S ;
TEUGELS, JL .
JOURNAL OF APPLIED PROBABILITY, 1990, 27 (01) :88-101
[7]  
Durrett R., 1991, PROBABILITY THEORY E
[8]   1977 RIETZ LECTURE - BOOTSTRAP METHODS - ANOTHER LOOK AT THE JACKKNIFE [J].
EFRON, B .
ANNALS OF STATISTICS, 1979, 7 (01) :1-26
[9]  
HARDY GH, 1996, COURSE PURE MATH
[10]   Dispersal data and the spread of invading organisms [J].
Kot, M ;
Lewis, MA ;
vandenDriessche, P .
ECOLOGY, 1996, 77 (07) :2027-2042