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020 _a9783031024252
_9978-3-031-02425-2
024 7 _a10.1007/978-3-031-02425-2
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aChattamvelli, Rajan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979032
245 1 0 _aDiscrete Distributions in Engineering and the Applied Sciences
_h[electronic resource] /
_cby Rajan Chattamvelli, Ramalingam Shanmugam.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXXI, 205 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aList of Figures -- List of Tables -- Glossary -- Discrete Random Variables -- Binomial Distribution -- Discrete Uniform Distribution -- Geometric Distribution -- Negative Binomial Distribution -- Poisson Distribution -- Hypergeometric Distribution -- Negative Hypergeometric Distribution -- Logarithmic Series Distribution -- Multinomial Distribution -- Bibliography -- Authors' Biographies -- Index .
520 _aThis is an introductory book on discrete statistical distributions and its applications. It discusses only those that are widely used in the applications of probability and statistics in everyday life. The purpose is to give a self-contained introduction to classical discrete distributions in statistics. Instead of compiling the important formulas (which are available in many other textbooks), we focus on important applications of each distribution in various applied fields like bioinformatics, genomics, ecology, electronics, epidemiology, management, reliability, etc., making this book an indispensable resource for researchers and practitioners in several scientific fields. Examples are drawn from different fields. An up-to-date reference appears at the end of the book. Chapter 1 introduces the basic concepts on random variables, and gives a simple method to find the mean deviation (MD) of discrete distributions. The Bernoulli and binomial distributions are discussedin detail in Chapter 2. A short chapter on discrete uniform distribution appears next. The next two chapters are on geometric and negative binomial distributions. Chapter 6 discusses the Poisson distribution in-depth, including applications in various fields. Chapter 7 is on hypergeometric distribution. As most textbooks in the market either do not discuss, or contain only brief description of the negative hypergeometric distribution, we have included an entire chapter on it. A short chapter on logarithmic series distribution follows it, in which a theorem to find the kth moment of logarithmic distribution using (k-1)th moment of zero-truncated geometric distribution is presented. The last chapter is on multinomial distribution and its applications. The primary users of this book are professionals and practitioners in various fields of engineering and the applied sciences. It will also be of use to graduate students in statistics, research scholars in science disciplines, and teachers of statistics, biostatistics, biotechnology, education, and psychology.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
700 1 _aShanmugam, Ramalingam.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979033
710 2 _aSpringerLink (Online service)
_979034
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031002717
776 0 8 _iPrinted edition:
_z9783031012976
776 0 8 _iPrinted edition:
_z9783031035531
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_979035
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02425-2
912 _aZDB-2-SXSC
942 _cEBK
999 _c84702
_d84702