On the convergence of series of moments for row sums of random variables

da Silva, João Lita2021-03-242021-03-2420200354-5180PURE: 28428937PURE UUID: dbac6947-0370-43db-9813-b23e3bfcbdcfScopus: 85099236952WOS: 000603450300010http://hdl.handle.net/10362/114394UIDB/04035/2020Given a triangular array 1 of random variables satisfying < 1 for some p > 1 and sequences {bn}, {cn} of positive real numbers, weshall prove that ∞ < 1, where x+ = max(x, 0). Our results are announced in a general setting, allowing us to obtain the convergence of the series in question under various types of dependence.14228416engConvergence of series of momentsDependent random variablesGeneral MathematicsOn the convergence of series of moments for row sums of random variablesjournal article10.2298/FIL2006875Lhttps://www.scopus.com/pages/publications/85099236952