Corrigendum to: Portfolio theory for α-symmetric and pseudoisotropic distributions: K-fund separation and the CAPM (Journal of Probability and Statistics (2015) 2015 (235452) DOI: 10.1155/2015/235452)

In the article titled portfolio theory for α-symmetric and pseudoisotropic distributions: k-fund separation and the capm, [1] the rescaling intended to simplify the derivation in the section titled 7. when do we have a capital asset pricing model? resulted in an elementary error. the error was unnoticed because proposition 14 and theorem 15 remained mathematically correct; but,having been scaled by dispersion rather than price,the symbol β ended up not being the vector of capm betas. to correct this,the text š βt shouldbedeleted fromthe sentence formal differentiation yields ∇b(0) = ∇ξ(ξ∗) š βt in section 7. when do we have a capital asset pricing model? at the end of proposition 14,the excess returns should be written μ = (ξ ∗tμ/ξ ∗t1)β for some β ∈ s. assuming the common scaling to unit price ξ ∗t1 = 1,(21) shall read (formula presented). also,following [37,38] at the end of the section,the wording is imprecise on the scale itself versus its power,the so-called covariation norm. the reader can disregard the sentence starting with their approach. a more thorough treatment on this connection is given in [2]. © 2017 nils chr. framstad.