This Classic article is a reprint of the original work by Mr. John Ewens, ‘‘Case of Osteo-Sarcoma of Tibia, Recurring in Stump of Thigh, and Probably Affecting the Lung.’’ The case is of interest, because the findings contradicted an existing idea, ‘‘that large malignant growths, springing from the long bones, do not, after amputation, if the whole of the diseased structures be removed, return ...

This paper considers a market in which shares of a single asset is traded by agents with many strategies. The market behavior is examined by regarding clusters of agents with same trading rules as random combinatorial partitions of agents by types. The equilibrium distribution is shown to be the Ewens sampling formula. When agents are positively correlated, it is shown that a small number of gr...

Consider the random Dirichlet partition of the interval into n fragments at temperature θ > 0. Some statistical features of this random discrete distribution are recalled, together with explicit results on the law of its size-biased permutation. Using these, pre-asymptotic versions of the Ewens and Donnelly-Tavaré-Griffiths sampling formulae from finite Dirichlet partitions are computed exactly...

In the present article we derive a new discrete multivariate distribution using a limiting argument that is essentially the same as the law of small numbers. The distribution derived belongs to an exponential family, and randomly partitions positive integers. The facts shown about the distribution are useful in many fields of application involved with count data. The derivation parallels that o...

R. A. Fisher's Fundamental Theorem of Natural Selection states that the rate of increase in the mean fitness of a population ascribable to gene-frequency changes is exactly equal to the additive genetic variance in fitness. It has been widely misunderstood, though clarification has gradually come about particularly through the work of G. R. Price, W. J. Ewens, and S. Lessard. Building on their ...

We consider inference about the history of a sample of DNA sequences, conditional upon the haplotype counts and the number of segregating sites observed at the present time. After deriving some theoretical results in the coalescent setting, we implement rejection sampling and importance sampling schemes to perform the inference. The importance sampling scheme addresses an extension of the Ewens...

61 6 Sham PC, Zhao JH, Waldman I, Curtis D: Should ambiguous trios for the TDT be discarded? Ann Hum Genet 2000;64:575–576. 7 Aidoo M, Terlouw DJ, Kolczak MS, et al: Protective effects of the sickle cell gene against malaria morbidity and mortality. Lancet 2002;359(9314): 1311–1312. 8 Spielman RS, McGinnis RE, Ewens WJ: Transmission test for linkage disequilibrium: the insulin gene region and i...

We consider Ewens random permutations of length n conditioned to have no cycle longer than nβ with 0<β<1 and study the asymptotic behaviour as n→∞. obtain very precise information on joint distribution lengths longest cycles; in particular we prove a functional limit theorem where cumulative number long cycles converges Poisson process suitable scaling. Furthermore, convergence total variation ...

157 HyperLogLog: the analysis of a near-optimal cardinality estimation algorithm A two-parameter family of random permutations of [n] is introduced, with distribution conditionally uniform given the counts of upper and lower records. The family interpolates between two versions of Ewens' distribution. A distinguished role of the family is determined by the fact that every sequence of coherent p...