In this paper, we extend Lin [Lin, YJ (2008). Minimax distribution free procedure with backorder price discount. International Journal of Production Economics, 111, 118–128] model by fuzzifying the demand rate, based on triangular fuzzy number to increase its applicability and solve the...

We consider the problem of testing whether the observations X1, · · ·, Xn of a time series are independent with unspecified (possibly nonidentical) distributions symmetric about a common known median. Various bounds on the distributions of serial correlation coefficients are proposed:...

We consider the problem of testing whether the observations X1, ..., Xn of a time series are independent with unspecified (possibly nonidentical) distributions symmetric about a common known median. Various bounds on the distributions of serial correlation coefficients are proposed: exponential...

We consider the problem of testing whether the observations X1, ..., Xn of a time series are independent with unspecified (possibly nonidentical) distributions symmetric about a common known median. Various bounds on the distributions of serial correlation coefficients are proposed: exponential...

Markov's inequality for nonnegative random variables is extended to sums of the form [summation operator]aiP(ti[less-than-or-equals, slant]X<ti+1).