Limit theorems for record counts and times in the F (alpha)-scheme

作者：Doukhan Paul; Klesov Oleg I; Pakes Anthony G; Steinebach Josef G^*

来源：Extremes, 2013, 16(2): 147-171.

DOI：10.1007/s10687-012-0157-y

• Number of records
• Record times
• F-alpha-scheme
• Laws of large numbers
• Asymptotic normality
• Random environments

We determine the almost sure and central limiting behaviour of the number of records and record times for the F (alpha) -scheme. Elementary methods are used to obtain general results. The basic results are extended to a random environments model.

• 出版日期2013-6