REVIEW 2 cited by
Moments of the Poisson distribution of order $k$
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
The factorial moments of the standard Poisson distribution are well known and are simple, but the raw moments are considered to be more complicated (Touchard polynomials). The present note presents a recurrence relation and an explicit combinatorial sum for the raw moments of the Poisson distribution of order $k$. Unlike the standard Poisson distribution (the case $k=1$), for $k>1$ the structure of the raw and factorial moments have many similarities and the raw moments are not more complicated (formally, at least) than the factorial moments. We remark briefly on the central moments (i.e.~moments centered on the mean) of the Poisson distribution of order $k$.
Forward citations
Cited by 2 Pith papers
-
Towards Mitigating Hallucinations in Large Vision-Language Models by Refining Textual Embeddings
Injecting an average-pooled visual embedding into every text token improves hallucination-benchmark scores of Video-LLaVA by small single-digit amounts.
-
DETONATE: A Benchmark for Text-to-Image Alignment and Kernelized Direct Preference Optimization
A kernel-based variant of direct preference optimization and a 100K-pair bias benchmark claim to improve text-to-image safety by separating safe and unsafe image representations during training.
Discussion (0). Continue with ORCID to comment.