An additive property of weak records from geometric distributions

作者：Castano Martinez A^*; Lopez Blazquez F; Salamanca Mino B

来源：Metrika, 2013, 76(4): 449-458.

DOI：10.1007/s00184-012-0398-4

• Weak records
• Discrete distribution
• Geometric distribution
• Characterizations

Let be the sequence of weak records from a discrete parent random variable, , supported on the non-negative integers. We obtain a new characterization of geometric distributions based on an additive property of weak records: follows a geometric distribution if and only if for certain integers, , with independent of and .

• 出版日期2013-5