{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T11:42:25Z","timestamp":1698147745496},"reference-count":12,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,7]],"date-time":"2006-11-07T00:00:00Z","timestamp":1162857600000},"content-version":"vor","delay-in-days":5242,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J of Applied Econometrics"],"published-print":{"date-parts":[[1992,7]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The time\u2010series distributed lag techniques of econometrics can be usefully applied to cross\u2010sectional, spatial and cross\u2010section time\u2010series situations. The application is perfectly natural in cross\u2010section, time\u2010series models when regression coefficients evolve systematically as the cross\u2010section grouping variable changes. The evolution of such coefficients lends itself to polynomial approximation or more general smoothing restrictions. These ideas are not new, Gersovitz and McKinnon (1978) and Trivedi and Lee (1981) providing two of the earliest applications of cross\u2010equation smoothing techniques. However, their applications were in the context of coefficient variation due to seasonal changes and this may account for the non\u2010diffusion of these techniques. The approach here is illustrated in the context of age\u2010specific household formation equations based on census data, using Almon polynomials when the regression coefficients vary systematically by age group. A second application is provided, using spatial data, explaining the incidence of crime, by region; using polynomial and geometric smoothing to model distance declining regional effects.<\/jats:p>","DOI":"10.1002\/jae.3950070307","type":"journal-article","created":{"date-parts":[[2007,7,12]],"date-time":"2007-07-12T16:49:32Z","timestamp":1184258972000},"page":"309-322","source":"Crossref","is-referenced-by-count":3,"title":["Polynomial approximations in cross\u2010sectional models"],"prefix":"10.1002","volume":"7","author":[{"given":"R. P.","family":"Byron","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,7]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/1923977"},{"key":"e_1_2_1_3_1","volume-title":"The Statistical Analysis of Time Series","author":"Anderson T. 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