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INTRODUCTION CHAPTER 1 PROBABILITY DISTRIBUTIONS RANDOM VARIABLES MATHEMATICAL EXPECTATIONS
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according application belongs called chapter characteristic function chosen complete conclude consequently consider constants converge corresponding defined definition denote density derivative determined dG(y distribution function easily elementary equal equation estimate example exists expansion expectations fact finite formula given gives Hence holds independent independent random variables inequality infinitely divisible law infinitesimal integral interval Khintchine law F(x LEMMA limit limit distribution limit law mathematical means measure natural necessary and sufficient normal law obtained Obviously positive possible preceding probability problem Proof properties proved random variables relation remark requirement respect satisfied sequence space stable law sufficiently large summands sums suppose theorem theory tion Translator's note uniformly unimodal values variance zero