Abstract

Prakasa Rao (Sankhya, Series A (1987) 49 199–206) studied characterization of probability distributions by linear functions of independent random variables defined on a homogeneous Markov chain. These results are now extended to Q-independent random variables. It is known that independence implies Q-independence but the converse is not true.

中文翻译：

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通过定义在齐次马尔可夫链上的 Q 独立随机变量的线性函数来表征概率测度

摘要

Prakasa Rao ( Sankhya, Series A (1987) 49 199–206 ) 研究了通过定义在齐次马尔可夫链上的独立随机变量的线性函数来表征概率分布。这些结果现在扩展到与Q无关的随机变量。众所周知，独立性意味着Q独立性，但反之则不成立。