query: Absolute continuity of distributions --- why do we need this?
positive_passages.docid: 62763
positive_passages.text: "Absolutely continuous random variable" vs. "Continuous random variable"?
negative_passages.docid: 118496
negative_passages.text: Why do we essentially need complete measure space?
negative_passages.docid: 33308
negative_passages.text: Unique local extremum is absolute extremum for continuous functions
negative_passages.docid: 141430
negative_passages.text: Why are all known distributions unimodal?
negative_passages.docid: 90944
negative_passages.text: Why do we want probabilities to be *countably* additive?
negative_passages.docid: 156996
negative_passages.text: Do there exist general conditions under which we can conclude that continuity on a topological space is detected by $\mathbb{R}$?
negative_passages.docid: 64619
negative_passages.text: Continuity of a function of product spaces
negative_passages.docid: 45891
negative_passages.text: When (and why) should you take the log of a distribution (of numbers)?
negative_passages.docid: 117419
negative_passages.text: Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
negative_passages.docid: 31272
negative_passages.text: Why does the continuity correction (say, the normal approximation to the binomial distribution) work?
negative_passages.docid: 67289
negative_passages.text: Continuity of the Characteristic Function of a RV
negative_passages.docid: 44574
negative_passages.text: Continuity of absolute value of a function
negative_passages.docid: 106528
negative_passages.text: What's the significance of conditional and absolute convergence?
negative_passages.docid: 76351
negative_passages.text: Equivalence of continuity definitions
negative_passages.docid: 17223
negative_passages.text: Continuity of an inverse function.
negative_passages.docid: 82280
negative_passages.text: Problem about continuous functions and the intermediate value theorem
negative_passages.docid: 155618
negative_passages.text: Slightly changing the formal definition of continuity of $f: \mathbb{R} \to \mathbb{R}$?