Moment-ratio diagrams for univariate distributions. Vargo, E., Pasupathy, R., & Leemis, L. *Journal of Quality Technology*, 42(3):276–286, 2010.

Paper abstract bibtex

Paper abstract bibtex

We present two moment-ratio diagrams along with guidance for their interpretation. The first moment-ratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most comprehensive to date. The diagrams serve four purposes: (1) they quantify the proximity between various univariate distributions based on their second, third, and fourth moments; (2) they illustrate the versatility of a particular distribution based on the range of values that the moments can assume; and (3) they can be used to create a short list of potential probability models based on a data set; (4) they clarify the limiting relationships between various well-known distribution families. The use of the moment-ratio diagrams for choosing a distribution that models given data is illustrated.

@article{2010varpaslee, author = {E. Vargo and R. Pasupathy and L. Leemis}, title = {Moment-ratio diagrams for univariate distributions}, journal = {Journal of Quality Technology}, year = {2010}, volume = {42}, number = {3}, pages = {276--286}, doi = {}, url = {http://web.ics.purdue.edu/~pasupath/PAPERS/2010varpasleeCOLOR.pdf}, keywords = {moment-ratio diagrams}, abstract = {We present two moment-ratio diagrams along with guidance for their interpretation. The first moment-ratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most comprehensive to date. The diagrams serve four purposes: (1) they quantify the proximity between various univariate distributions based on their second, third, and fourth moments; (2) they illustrate the versatility of a particular distribution based on the range of values that the moments can assume; and (3) they can be used to create a short list of potential probability models based on a data set; (4) they clarify the limiting relationships between various well-known distribution families. The use of the moment-ratio diagrams for choosing a distribution that models given data is illustrated.}} %========== NOLINK ==========

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E.","Pasupathy, R.","Leemis, L."],"bibbaseid":"vargo-pasupathy-leemis-momentratiodiagramsforunivariatedistributions-2010","bibdata":{"bibtype":"article","type":"article","author":[{"firstnames":["E."],"propositions":[],"lastnames":["Vargo"],"suffixes":[]},{"firstnames":["R."],"propositions":[],"lastnames":["Pasupathy"],"suffixes":[]},{"firstnames":["L."],"propositions":[],"lastnames":["Leemis"],"suffixes":[]}],"title":"Moment-ratio diagrams for univariate distributions","journal":"Journal of Quality Technology","year":"2010","volume":"42","number":"3","pages":"276–286","doi":"","url":"http://web.ics.purdue.edu/~pasupath/PAPERS/2010varpasleeCOLOR.pdf","keywords":"moment-ratio diagrams","abstract":"We present two moment-ratio diagrams along with guidance for their interpretation. The first moment-ratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most comprehensive to date. The diagrams serve four purposes: (1) they quantify the proximity between various univariate distributions based on their second, third, and fourth moments; (2) they illustrate the versatility of a particular distribution based on the range of values that the moments can assume; and (3) they can be used to create a short list of potential probability models based on a data set; (4) they clarify the limiting relationships between various well-known distribution families. The use of the moment-ratio diagrams for choosing a distribution that models given data is illustrated.","bibtex":"@article{2010varpaslee,\n\tauthor = {E. Vargo and R. Pasupathy and L. Leemis},\n\ttitle = {Moment-ratio diagrams for univariate distributions},\n\tjournal = {Journal of Quality Technology},\n\tyear = {2010},\n\tvolume = {42},\n\tnumber = {3},\n\tpages = {276--286},\n\tdoi = {},\n\turl = {http://web.ics.purdue.edu/~pasupath/PAPERS/2010varpasleeCOLOR.pdf},\n\tkeywords = {moment-ratio diagrams},\n\tabstract = {We present two moment-ratio diagrams along with guidance for their interpretation. The first moment-ratio diagram is a graph of skewness versus kurtosis for common univariate probability distributions. The second moment-ratio diagram is a graph of coefficient of variation versus skewness for common univariate probability distributions. Both of these diagrams, to our knowledge, are the most comprehensive to date. The diagrams serve four purposes: (1) they quantify the proximity between various univariate distributions based on their second, third, and fourth moments; (2) they illustrate the versatility of a particular distribution based on the range of values that the moments can assume; and (3) they can be used to create a short list of potential probability models based on a data set; (4) they clarify the limiting relationships between various well-known distribution families. The use of the moment-ratio diagrams for choosing a distribution that models given data is illustrated.}}\n\n\n%========== NOLINK ==========\n\n","author_short":["Vargo, E.","Pasupathy, R.","Leemis, L."],"key":"2010varpaslee","id":"2010varpaslee","bibbaseid":"vargo-pasupathy-leemis-momentratiodiagramsforunivariatedistributions-2010","role":"author","urls":{"Paper":"http://web.ics.purdue.edu/~pasupath/PAPERS/2010varpasleeCOLOR.pdf"},"keyword":["moment-ratio diagrams"],"metadata":{"authorlinks":{"pasupathy, r":"https://bibbase.org/show?bib=http://web.ics.purdue.edu/~pasupath/rpVitapublist.bib"}},"html":""},"bibtype":"article","biburl":"http://web.ics.purdue.edu/~pasupath/rpVitapublist.bib","downloads":9,"keywords":["moment-ratio diagrams"],"search_terms":["moment","ratio","diagrams","univariate","distributions","vargo","pasupathy","leemis"],"title":"Moment-ratio diagrams for univariate distributions","year":2010,"dataSources":["qnbhPCpdghcXAQgXA"]}