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Abstract In this article, we formulate and prove new properties of conditional quantiles given one of the particular sigma-fields. Next, we use them to investigate almost sure asymptotic behavior of… Click to show full abstract
Abstract In this article, we formulate and prove new properties of conditional quantiles given one of the particular sigma-fields. Next, we use them to investigate almost sure asymptotic behavior of central order statistics which arise from strictly stationary processes. Specifically, we provide a new version of a strong ergodic theorem for central order statistics.
Keywords:
sure asymptotic;
central order;
stationary processes;
order statistics;
almost sure
Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2020
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Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!