A Necessary and Sufficient Condition for Convergence in Law of Random Sums of Random Variables Under Nonrandom Centering

DOI10.2307/2047667zbMath0682.60017OpenAlexW4230161972MaRDI QIDQ4731896

Howard G. Tucker, Mark Finkelstein

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047667

zbMATH Keywords

convergence in lawrandom sums of random variablesnonrandom centering

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

Convergence in law of random sums with non-random centering ⋮ Weak convergence of random sums and maximum random sums under nonrandom norming ⋮ Weak convergence of random sums under nonrandom centering ⋮ On weak and Moments Convergence of Randomly Indexed Sums ⋮ On the almost sure central limit theorem for randomly indexed sums ⋮ A criterion of convergence of nonrandomly centered random sums of independent identically distributed random variables

Cites Work

• A central limit theorem for random sums of random variables
• A central limit theorem for sums of a random number of independent random variables
• On the central limit theorem for the sum of a random number of independent random variables
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