کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4978450 1452370 2016 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
fixedTimeEvents: An R package for the distribution of distances between discrete events in fixed time
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
fixedTimeEvents: An R package for the distribution of distances between discrete events in fixed time
چکیده انگلیسی
When a series of Bernoulli trials occur within a fixed time frame or limited space, it is often interesting to assess if the successful outcomes have occurred completely at random, or if they tend to group together. One example, in genetics, is detecting grouping of genes within a genome. Approximations of the distribution of successes are possible, but they become inaccurate for small sample sizes. In this article, we describe the exact distribution of time between random, non-overlapping successes in discrete time of fixed length. A complete description of the probability mass function, the cumulative distribution function, mean, variance and recurrence relation is included. We propose an associated test for the over-representation of short distances and illustrate the methodology through relevant examples. The theory is implemented in an R package including probability mass, cumulative distribution, quantile function, random number generator, simulation functions, and functions for testing.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: SoftwareX - Volume 5, 2016, Pages 227-233
نویسندگان
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