Normal approximations of the number of records in geometrically distributed random variables

✍ Scribed by Zhi-Dong Bai; Hsien-Kuei Hwang; Wen-Qi Liang

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 217 KB
• Volume: 13
• Category: Article
• ISSN: 1042-9832
• DOI: 10.1002/(sici)1098-2418(199810/12)13:3/4<319::aid-rsa7>3.0.co;2-y

✦ Synopsis

We establish the asymptotic normality of the number of upper records in a sequence of iid geometric random variables. Large deviations and local limit theorems as well as approximation theorems for the number of lower records are also derived. ᮊ 1998