# Marginalia for Noteworthy Papers

The following list is organized by subject, then by chronology. Please contact Dan Roy if you would like to contribute.

# Probability theory

## MR0637937 Aldous, David J. Representations for partially exchangeable arrays of random variables. J. Multivariate Anal. 11 (1981), no. 4, 581–598.

• Errata (pg 587, line -8) Corollary 2.15(b) should be 2.5(b).
• (pg 588, line 1) Reference to (2.16) probably should be to (2.6).
• (pg 588) Proof of Lemma 2.18, references integrating correctly over generating rectangles. To replicate this argument, consider the conditional expectation, with respect to $\alpha^\star$, of $1_{F_1\cap F_2\cap F_3} E^{\alpha^*,W_j}\phi(V_j)$ and $1_{F_1\cap F_2\cap F_3} E^{\alpha^*,W_i;i\ge1}\phi(V_j)$, using the fact that $E^{\mathcal F} E^{\mathcal G} \xi = E^{\mathcal F} \xi$ for sub-s-algebras $\mathcal F \subseteq \mathcal G$. See FMP, Thm 6.1.
• Errata (pg 588, line -10) $Z_i=(R_i^+,R_i^-)$ should be $Z_i=(R_i^+,R_i^-,C_i^-)$.

## MR1880234 Seidenfeld, Teddy; Schervish, Mark J.; Kadane, Joseph B. Improper regular conditional distributions. Ann. Probab. 29 (2001), no. 4, 1612–1624.

• Errata See http://arxiv.org/abs/math/0603012 for errata and clarifications involving definition 6, the definition of Borel spaces, Theorem 4 and Lemma 3.
• Errata (pg 1618, line 19) Equation in Example 4 should read $P(\{x'\} | \mathcal A)(\omega)$ instead of $P(x' | \mathcal A)(\omega)$.

# References

• [FMP] MR1876169 Kallenberg, Olav Foundations of modern probability. Second edition. Probability and its Applications (New York). Springer-Verlag, New York, 2002. xx+638 pp. ISBN: 0-387-95313-2