Add to ORKGAbstract. We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive random variables with finite second moment. 1. Introduction and Main Result Limiting distributions of the product of partial sums of positive random variables have been widely studied in recent years. Arnold and Villaseñor [1] proved the limit theorem for the partial sum of a sequence of exponential random variables. Rempa la and Weso lowski [4] proved it for any independent and identically distributed (i.i.d.) random variables with finite variance. Later, Qi [5] considered a sequence of rando
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
For the partial sums (S,) of independent random variables we define a stochastic process s(n)(t) := ...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive ...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
We derive a functional central limit theorem (fclt) for normalised sums of a function of the partial...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex rando...
For the partial sums (S,) of independent random variables we define a stochastic process s(n)(t) := ...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...
For the partial sums (Sn) of independent random variables we define a stochastic process sn(t)colon,...