{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T03:16:31Z","timestamp":1761016591923,"version":"3.33.0"},"reference-count":22,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,11,7]],"date-time":"2006-11-07T00:00:00Z","timestamp":1162857600000},"content-version":"vor","delay-in-days":7342,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J of Applied Econometrics"],"published-print":{"date-parts":[[1986,10]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper looks at the currently available beta adjustment techniques and suggests a multiple root\u2010linear model to adjust for the regression tendency of betas. Our empirical investigate on indicates that cross\u2010sectional betas are not normally distributed, but their distribution tends to normal after a square\u2010root transformation. The evidence from the Box\u2010Cox regression model and the multivariate normality observed among betas after the transformation, make the functional form of our model correct. Also, we observe that the disturbance term of the multiple root\u2010linear model is well behaved. These findings make the ordinary least squares estimates unbiased and efficient. Finally, the mean square and extreme errors are found to be lower when our adjustment procedure is used<jats:italic>vis\u2010\u00e0\u2010vis<\/jats:italic>the existing procedures.<\/jats:p>","DOI":"10.1002\/jae.3950010403","type":"journal-article","created":{"date-parts":[[2007,7,12]],"date-time":"2007-07-12T13:55:24Z","timestamp":1184248524000},"page":"317-332","source":"Crossref","is-referenced-by-count":13,"title":["An adjustment procedure for predicting systematic risk"],"prefix":"10.1002","volume":"1","author":[{"given":"Anil K.","family":"Bera","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Srinivasan","family":"Kannan","sequence":"additional","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":"10.1098\/rspa.1937.0109"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(82)90103-8"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610928308828444"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-6261.1971.tb00584.x"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-6261.1975.tb01850.x"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2335355"},{"key":"e_1_2_1_8_1","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1111\/j.2517-6161.1964.tb00553.x","article-title":"An analysis of transformation","volume":"26","author":"Box G. 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