Limit theorems are proved establishing criteria of convergence of the distributions of random sums and statistics constructed from samples with random sizes to exponential power laws. INTRODUCTION. EXPONENTIAL POWER DISTRIBUTIONS Let 0 < α 6 2. Exponential power distribution is the absolutely continuous distribution defined by its Lebesgue probability density

OBJECTIVE To investigate prevalence, persistence and clinical correlates of increased microalbumin excretion in random urine samples collected in a paediatric diabetes clinic. METHOD Random urine samples were collected annually in patients >10 years attending the diabetes clinic in the Royal Hospital for Sick Children, Edinburgh. Albumin excretion is expressed as albumin:creatinine ratio (ACR...

The paper presents a new mutation strategy for the Metropolis light transport algorithm, which works in the space of uniform random numbers used to build up paths. Thus instead of mutating directly in the path space, mutations are realized in the infinite dimensional unit cube of pseudo-random numbers and these points are transformed to the path space according to BRDF sampling, light source sa...

Random forests perform boostrap-aggregation by sampling the training samples with replacement. This enables the evaluation of out-of-bag error which serves as a internal crossvalidation mechanism. Our motivation lies in using the unsampled training samples to improve each decision tree in the ensemble. We study the effect of using the out-of-bag samples to improve the generalization error first...

A drug company wants to investigate the uniformity of one of its products. It has 2 Sites at which the drug is manufactured. From each site three Batches are obtained at random. From each batch 5 samples (pills) are taken at random. The samples are analyzed for Content. One issue is whether the two sites differ; another is whether batch-to-batch variability within the two sites is a significant...

Suppose there is a bag containing red balls and blue balls. You would like to estimate the fraction of red balls in the bag. However, you are only allowed to sample randomly from the bag with replacement. The straightforward method is to make T random samples and use the fraction of red balls in the random samples as an estimate of the true fraction. The question is: how many samples are enough...

Suppose there is a bag containing red balls and blue balls. You would like to estimate the fraction of red balls in the bag. However, you are only allowed to sample randomly from the bag with replacement. The straightforward method is to make T random samples and use the fraction of red balls in the random samples as an estimate of the true fraction. The question is: how many samples are enough...

A decentralized solution to the unsplittable flow problem (UFP) in a transport network is considered, where each flow uses only one route from source to sink and the flows cannot be separated into parts in intermediate nodes. The flow costs in each edge depend on the combination of the assigned flows as well as on external random variables. It is supposed that the random variables can be common...

A total of 65 blood samples collected from Holstein cattle were employed for DNA extraction. Genomic DNA were amplified by means of random amplified polymorphic DNA (RAPD). One hundred and one random primers (Operon kits OPAA, OPAO, OPAV, OPC, OPE and OPA-06) were used for polymerase chain reactions (PCR). The PCR products were size fractionated by means of electrophoresis in agarose gel, trans...