FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W94857188> ?p ?o ?g. }

• W94857188 abstract "An expression for the second-order approximation to the kurtosis asso- ciated with the least squares estimate of an individual parameter in a nonlinear regression model is derived, and connections between this and various other mea- sures of curvature are made. Furthermore a means of predicting the reliability of the commonly-used Wald confidence intervals for individual model parameters, based on measures of skewness and kurtosis, is developed. Numerous examples illustrating the theoretical results are provided. There has been considerable interest over the past twenty years in devel- oping measures of curvature for nonlinear regression models which in some way quantify the deviation of the model from linearity. Specifically, in a landmark paper in 1980, Bates and Watts built on the seminal work of Beale (1960) and in- troduced relative intrinsic and parameter-effects curvatures which provide global measures of the nonlinearity of the model. However these measures are not al- ways helpful when the individual parameters in the model are of interest (see e.g., Cook and Witmer (1985)) and as a consequence a number of researchers have developed measures of curvature which are specifically associated with the individual parameters. In particular Ratkowsky (1983) suggested examining the skewness and kurtosis of the least squares estimates of the parameters by means of simulation and Hougaard (1985) reinforced this idea by deriving a formula for the second-order approximation to skewness. Further Cook and Goldberg (1986) and Hamilton (1986) extended the ideas of Bates and Watts (1980) to accommo- date individual parameters, while Clarke (1987) introduced a marginal curvature measure derived from the second-order approximation to the profile likelihood. The list seems rather daunting and the curvature measures diverse and uncon- nected. In fact Clarke (1987), and more recently Kang and Rawlings (1998), have" @default.
• W94857188 created "2016-06-24" @default.
• W94857188 creator A5027073937 @default.
• W94857188 creator A5061695549 @default.
• W94857188 creator A5067313572 @default.
• W94857188 date "2004-01-01" @default.
• W94857188 modified "2023-09-27" @default.
• W94857188 title "KURTOSIS AND CURVATURE MEASURES FOR NONLINEAR REGRESSION MODELS" @default.
• W94857188 cites W1498826342 @default.
• W94857188 cites W199310666 @default.
• W94857188 cites W2013092089 @default.
• W94857188 cites W2022694867 @default.
• W94857188 cites W2033447978 @default.
• W94857188 cites W2034562813 @default.
• W94857188 cites W2037192255 @default.
• W94857188 cites W2038773109 @default.
• W94857188 cites W2049473730 @default.
• W94857188 cites W2053599077 @default.
• W94857188 cites W2060818806 @default.
• W94857188 cites W2070779353 @default.
• W94857188 cites W2089061143 @default.
• W94857188 cites W2170143582 @default.
• W94857188 cites W2320226983 @default.
• W94857188 cites W2322621612 @default.
• W94857188 cites W2334190939 @default.
• W94857188 cites W2335748804 @default.
• W94857188 cites W2495754037 @default.
• W94857188 cites W2550889550 @default.
• W94857188 cites W2800262963 @default.
• W94857188 cites W2904038111 @default.
• W94857188 cites W2904697921 @default.
• W94857188 cites W66986543 @default.
• W94857188 hasPublicationYear "2004" @default.
• W94857188 type Work @default.
• W94857188 sameAs 94857188 @default.
• W94857188 citedByCount "7" @default.
• W94857188 countsByYear W948571882012 @default.
• W94857188 crossrefType "journal-article" @default.
• W94857188 hasAuthorship W94857188A5027073937 @default.
• W94857188 hasAuthorship W94857188A5061695549 @default.
• W94857188 hasAuthorship W94857188A5067313572 @default.
• W94857188 hasConcept C105795698 @default.
• W94857188 hasConcept C121332964 @default.
• W94857188 hasConcept C122342681 @default.
• W94857188 hasConcept C149782125 @default.
• W94857188 hasConcept C152877465 @default.
• W94857188 hasConcept C158622935 @default.
• W94857188 hasConcept C166963901 @default.
• W94857188 hasConcept C195065555 @default.
• W94857188 hasConcept C2524010 @default.
• W94857188 hasConcept C28826006 @default.
• W94857188 hasConcept C33923547 @default.
• W94857188 hasConcept C46889948 @default.
• W94857188 hasConcept C62520636 @default.
• W94857188 hasConceptScore W94857188C105795698 @default.
• W94857188 hasConceptScore W94857188C121332964 @default.
• W94857188 hasConceptScore W94857188C122342681 @default.
• W94857188 hasConceptScore W94857188C149782125 @default.
• W94857188 hasConceptScore W94857188C152877465 @default.
• W94857188 hasConceptScore W94857188C158622935 @default.
• W94857188 hasConceptScore W94857188C166963901 @default.
• W94857188 hasConceptScore W94857188C195065555 @default.
• W94857188 hasConceptScore W94857188C2524010 @default.
• W94857188 hasConceptScore W94857188C28826006 @default.
• W94857188 hasConceptScore W94857188C33923547 @default.
• W94857188 hasConceptScore W94857188C46889948 @default.
• W94857188 hasConceptScore W94857188C62520636 @default.
• W94857188 hasLocation W948571881 @default.
• W94857188 hasOpenAccess W94857188 @default.
• W94857188 hasPrimaryLocation W948571881 @default.
• W94857188 hasRelatedWork W1971914091 @default.
• W94857188 hasRelatedWork W1981591026 @default.
• W94857188 hasRelatedWork W2070779353 @default.
• W94857188 hasRelatedWork W2138812076 @default.
• W94857188 hasRelatedWork W2466336891 @default.
• W94857188 hasRelatedWork W2489605225 @default.
• W94857188 hasRelatedWork W2505206054 @default.
• W94857188 hasRelatedWork W2562375719 @default.
• W94857188 hasRelatedWork W2582401511 @default.
• W94857188 hasRelatedWork W2625667410 @default.
• W94857188 hasRelatedWork W2738427460 @default.
• W94857188 hasRelatedWork W2795470960 @default.
• W94857188 hasRelatedWork W2796541478 @default.
• W94857188 hasRelatedWork W2800262963 @default.
• W94857188 hasRelatedWork W2904038111 @default.
• W94857188 hasRelatedWork W2975797824 @default.
• W94857188 hasRelatedWork W3124715297 @default.
• W94857188 hasRelatedWork W3202278388 @default.
• W94857188 hasRelatedWork W51971774 @default.
• W94857188 hasRelatedWork W758859846 @default.
• W94857188 isParatext "false" @default.
• W94857188 isRetracted "false" @default.
• W94857188 magId "94857188" @default.
• W94857188 workType "article" @default.