Abstract
A finite sequence of binary random variables is called a weak exchangeable sequence of order m if the sequence consists of m random vectors such that the elements within each random vector are exchangeable in the usual sense and the different random vectors are dependent. The exact and asymptotic joint distributions of the m-dimensional random vector whose elements include the number of successes in each exchangeable sequence are derived. Potential applications of the concept of weak exchangeability are discussed with illustrative examples.
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The author thanks the anonymous referees for their helpful comments and suggestions, which were useful in improving the paper.
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Eryilmaz, S. The concept of weak exchangeability and its applications. Metrika 80, 259–271 (2017). https://doi.org/10.1007/s00184-016-0602-z
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DOI: https://doi.org/10.1007/s00184-016-0602-z