## Decomposition of superpositions of distribution functions |

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### Contents

AUTHOR S PREFACE | 9 |

THE SOLUTION OF THE FUNDAMENTAL | 25 |

THE SCOPE OF FURTHER INVESTIGA | 57 |

Copyright | |

9 other sections not shown

### Common terms and phrases

A-values Appendix applied approximation error arctg basis of decomposition belonging to probability binomial distributions bounded variation Cauchy distribution cell of label coefficients computed conditions of applicability consequently const continuous converges decomposed decomposition of w(x decomposition procedure decomposition step degenerate distribution denoted derivative basis determined disintegration distribution density distribution functions belonging divisible distribution function estimate formant Fourier functional equation given graph of z(x graph section infinitely divisible distribution integral investigations let us consider linear operator Lx Medgyessy Mellin transform mentioned method negative binomial distributions non-degenerate characteristic function non-degenerate distribution functions normal density functions numerical obtain parameters pk partial differential equation Point 13 Poisson distributions probability distributions problem Proof random variable relevant basis resp right-hand side satisfied solution stable density functions stable distribution superposition of density superposition of distribution superposition of normal superposition of probability superposition w(x Theorem tion uniquely