On the asymptotics of discrete order statistics

✍ Scribed by J.S. Athreya; S. Sethuraman

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 101 KB
• Volume: 54
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(01)00042-6

✦ Synopsis

Let X1; X2; : : : ; Xn be a sequence of independent, identically distributed positive integer random variables. We study the asymptotics of the likelihood that the sample maximum is achieved k times and in its spacing relative to the second highest value. Earlier and other results are discussed in context. Also, some investigation is made when the sample is Markovian. Di erent results emerge in this case.