>>35
> 正規の論文とは?

正規の論文とは、キチンと査読されて掲載された まともな雑誌の論文
(いまどきは、百歩譲って arXivも、まあありか)
正規の論文では、定義しか書いていないことは まずない
だから、定義から始って、なにかの定理を導く
それらを見ることで、その定義の理解が深まる

>>今回の…の定義は、大きな進歩だが、正規の論文がほしい
> 正規の論文だと定義が変わるんですか? そんなことないでしょう
> ブログに書いてあるんなら、その定義を読んで理解すればいいだけかと

ふっふ、ほっほ
検索 ”conglomerability” Probability でいろいろヒットするぜ
2例だけアップしておく
”conglomerability”の定義が 一致しているかは不明だが
ニワカが、オレ様議論してもね・・

(”1.Introduction”の部分は読める。全文は、Login 要 )
https://www.jstor.org/stable/25050554
journal article
Conglomerability and Countable Additivity
Bruce M. Hill and David Lane

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
Vol. 47, No. 3 (Oct., 1985), pp. 366-379 (14 pages)
Published By: Indian Statistical Institute

(全文pdfで読める)
https://philarchive.org/archive/STECDA-8
Forthcoming in Analysis
Conglomerability, Disintegrability, and the Comparative Principle
Rush T. Stewart Michael Nielsen ∗ February 8, 2021
1 Introduction How stringent are standards of rational probability judgment? One prominent dividing line on this issue concerns additivity. Everyone agrees that numerically precise probabilities are required to be finitely additive. But many argue that they should meet the more restrictive standard of countable additivity as well. How are we to adjudicate the issue? Several approaches have been pursued. Our aim here is to present a result that connects some of these approaches, and, in doing so, to better understand the force of a recent argument for countable additivity due to Easwaran (2013). We have two main points. First, Easwaran’s argument in favor of countable additivity should have little persuasive force on those permissive probabilists who have already made their peace with violations of conglomerability. As our result shows, Easwaran’s main premise—the comparative principle—is strictly stronger than conglomerability. Second, with the connections between the comparative principle and other probabilistic concepts clearly in view, we point out that opponents of countable additivity can still make a case that countable additivity is an arbitrary stopping point between f inite and full additivity. In the next section, we present our arguments in more detail, and in the final section we present the result on which our arguments are based.
2 Main Points
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