Strong laws for exponential order statistics and spacings

• Autores: A. Astrauskas
• Localización: Lithuanian mathematical journal, ISSN 0363-1672, Vol. 46, Nº. 4, 2006, págs. 385-397
• Idioma: inglés
• DOI: 10.1007/s10986-006-0036-9
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• Resumen

  • We obtain upper and lower almost sure asymptotic bounds for spacings ? K, N - ? K + 1, N , where ? 1, N > ? 2, N > ? > ? N, N are the order statistics of independent exponentially distributed random variables ? 1, ? 2, ..., ? N with mean 1; here N ? 8, and K = 1, 2, ... is fixed.