题目3021 · 概率
Merged Count in 15 Minutes
Two independent Poisson streams with rates 6 and 10 per hour are merged. What is the probability that the merged stream records exactly 3 arrivals in the next 15 minutes?
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中文题目题目3036 · 概率
First Two Merged Arrivals Are Both Buys
Two independent Poisson streams with rates 8 and 4 per hour are merged. Using the fact that source labels in the merged stream are i.i.d., compute the requested probability about the first 2 merged arrivals.
打开 →题目3031 · 概率
How Many of Eight Merged Orders Came from Venue A?
Two independent Poisson streams A and B with hourly rates 7 and 3 are merged. Conditional on observing exactly 8 merged arrivals in the hour, what is the probability that exactly 5 came from stream A?
打开 →题目2461 · 机器学习
Learning Rare-Category Merges From Future Features
No labels are used, but the preprocessing step decides which rare sectors to merge by looking at category frequencies on the full dataset. Why can that still make the evaluation optimistic?
打开 →题目2452 · 机器学习
Future Restatements Merged Into Historical Features
A researcher joins fundamentals after they were restated months later, then backtests on the original trade dates. Why is this a split-discipline failure even if no test labels were touched?
打开 →题目6012 · 概率
A Three-Arrival Head Start
Aggressive and passive child orders fill as independent Poisson processes with rates $\lambda_A=10$ and $\lambda_B=5$ per minute. What is the probability that the first three fills in the merged stream are all aggressive (stream A)?
打开 →题目3020 · 概率
API Error Before Database Error
Api errors and database errors arrive as independent Poisson processes with rates $\lambda_A=5$ and $\lambda_B=5$ per hour. What is the probability that the next arrival in the merged stream comes from stream A?
打开 →题目4285 · 机器学习
Average Linkage Distance 5
Cluster A has size 3 and mean 0, cluster B has size 1 and mean 2, cluster C has size 1 and mean 5. Under Ward linkage, which pair merges first: A-B or B-C?
打开 →题目3016 · 概率
Buy Orders Beat Sell Orders
Buy orders and sell orders arrive as independent Poisson processes with rates $\lambda_A=7$ and $\lambda_B=5$ per hour. What is the probability that the next arrival in the merged stream comes from stream A?
打开 →题目4891 · 数理金融
Capital Aggregation Diagnostic 1
A CRO wants one firm-wide capital number for two desks whose books can offset each other. Which coherence property should you check first if you do not want the merged capital to exceed the sum of standalone capitals?
打开 →题目3424 · 数学
Entropy Loss From Merging a 20% State and a 30% State
Two states of probabilities 0.2 and 0.3 are merged into a single 0.5-mass state. By how many bits does the entropy fall?
打开 →题目3423 · 数学
Entropy Loss From Merging Two Equal 1/8 States
If two symbols each of probability 1/8 are merged into a single symbol while everything else stays unchanged, by how many bits does the entropy decrease?
打开 →题目3017 · 概率
Exchange A Sends the Next Tick First
Exchange a ticks and Exchange B ticks arrive as independent Poisson processes with rates $\lambda_A=9$ and $\lambda_B=3$ per hour. What is the probability that the next arrival in the merged stream comes from stream A?
打开 →题目3018 · 概率
Institutional RFQ Before Retail RFQ
Institutional rfqs and retail RFQs arrive as independent Poisson processes with rates $\lambda_A=4$ and $\lambda_B=6$ per hour. What is the probability that the next arrival in the merged stream comes from stream A?
打开 →题目4274 · 机器学习
k-Means Centroid Update 4
Under Ward linkage, what merge cost increase do two singleton clusters at positions 1 and 4 have in 1D?
打开 →题目3019 · 概率
Options Alarm Before Cash Alarm
Options alarms and cash alarms arrive as independent Poisson processes with rates $\lambda_A=8$ and $\lambda_B=2$ per hour. What is the probability that the next arrival in the merged stream comes from stream A?
打开 →题目4281 · 机器学习
Single Linkage Distance 1
For single-linkage hierarchical clustering on 1D points {0,1,4}, which pair merges first?
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