In this work, a sharp upper bound on the law of the logarithm for the weighted sums of random variables with multidimensional indices is obtained. The main result improves the result in [Li, Rao and Wang, 1995. On strong law of large numbers and the law of the logarithm for weighted sums of...

In this study, the impact of the Communist Party secretary’s prior experience on carbon intensity is explored. The findings demonstrate that a secretary’s prior environmental protection experience can dramatically lower a city’s carbon intensity. This negative impact is more apparent after...

type="main" xml:id="rssc12036-abs-0001" <title type="main">Summary</title> <p>The paper considers data from an aphid infestation on a sugar cane plantation and illustrates the use of an individual level infectious disease model for making inference on the biological process underlying these data. The data are interval...</p>

Suppose a sequence of random variables {Xn} has negative drift when above a certain threshold and has increments bounded in Lp. When p2 this implies that EXn is bounded above by a constant independent of n and the particular 0sequence {Xn}. When p[less-than-or-equals, slant]2 there are...

We consider a system of particles moving independently on a countable state space, according to a general (non-space-homogeneous) Markov process. Under mild conditions, the number of particles at each site will converge to a product of independent Poisson distributions; this corresponds to...