Kaplan and Meier’s 1958 article developed a nonparametric estimator of the survivor function from right-censored dataset. Determining size support as sample provides challenging exercise for students in an advanced course mathematical statistics. We devise two algorithms calculating calculate associated probability mass small sizes particular distributions failure censoring times.

Let (Xn)n≥1 be a sequence of independent identically distributed (i.i.d.) positive random variables (r.v.). Recently there have been several studies to the products of partial sums. It is well known that the products of i.i.d. positive, square integrable random variables are asymptotically log-normal. This fact is an immediate consequence of the classical central limit theorem (CLT). This point...

Novel means of fabricating polymeric microfluidic devices are presented. An SU-8 master is applied in two-stage embossing, followed by vaporized organic solvent bonding. The primary master is created by standard photolithography; the inexpensive SU-8 primary master is used in a two-stage process to generate microfeatures in hard polymers. A vaporized solvent bonding technique that readily produ...

Commutativity of the diagram of the maps connecting three one–particle state, implied by the Equivalence Postulate (EP), gives a cocycle condition which unequivocally leads to the quantum Hamilton–Jacobi equation. Energy quantization is a direct consequences of the local homeomorphicity of the trivializing map. We review the EP and show that the quantum potential for two free particles, which d...