A central limit theorem for certain nonlinear statistics in repeated sampling of a finite population

✍ Scribed by D.L. Hawkins; Chien-Pai Han

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 345 KB
• Volume: 39
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(98)00007-8

✦ Synopsis

We prove a central limit theorem for the asymptotic joint distribution of non-linear statistics of the form ~-~t~l ZNrtltelt+~/, 1 ~< t ~< r--1 and linear statistics of the form ~-~:~t XN/tLe, 1 <~ t <~ r, based on independent repeated samples of a finite population of size N with sample indicators Itt,( = 1 ....