An outbreak of ringworm in Karakul sheep occurred during 1973 among the flocks of at least 14 farmers in South West Africa and the northern Cape Province. Infections spread from one farm to another as a result of introducing infected stud rams. On one farm a few cattle, a goat and a horse developed lesions after being in contact with infected sheep. Some of the attendants handling infected shee...

Suppose X1, X2, . . . are i.i.d. nonnegative random variables with finite expectation, and for each k, Xk is observed at the k-th arrival time Sk of a Poisson process with unit rate which is independent of the sequence {Xk}. For t > 0, comparisons are made between the expected maximum M(t) := E[maxk≥1 Xk I(Sk ≤ t)] and the optimal stopping value V (t) := supτ∈T E[Xτ I(Sτ ≤ t)], where T is the s...

Ai Hua FAN and Qiyu SUN Abstract Let N be the re nable function with Butterworth lter cos2N 2( cos2N 2 +sin2N 2) 1, and let sp( N) be the Sobolev exponent of N of order p (0 < p 1). It is proved in this note that there exists a constant 0 < r = rp < 1 such that ln(1 + rN) ln 2 sp( N) N ln 3 ln 2 ln(1 + 3 N) ln 2 ; (8N 1):

In classical growth analysis, relative growth rate (RGR) is calculated as RGR = (ln W2 - ln W1)/(t2 - t1), where W1 and W2 are plant dry weights at times t1 and t2. Since RGR is usually calculated using destructive harvests of several individuals, an obvious approach is to substitute W1 and W2 with sample means W1 and W2. Here we demonstrate that this approach yields a biased estimate of RGR wh...