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by MikeCrowe
April 4th, 2008, 2:26 pm
Forum: Brainteaser Forum
Topic: Average waiting time at a bus stop
Replies: 14
Views: 70704

Average waiting time at a bus stop

Ok so what if both busses arrival times are exponentially distributed after each other with average time t=10 and t=20?
by MikeCrowe
April 3rd, 2008, 11:59 am
Forum: Brainteaser Forum
Topic: Deal Or No Deal
Replies: 11
Views: 65321

Deal Or No Deal

<t>I think they make offers above the expected return BECAUSE ITS A GAME SHOW.Every other game show offers prizes - so why not this one.And why do you offer a prize? To make it exciting. There is nothing better for the viewer than to see a greedy player gamble away a really good offer.If a player se...
by MikeCrowe
March 28th, 2008, 9:01 am
Forum: Brainteaser Forum
Topic: 2 goals? 3 goals?
Replies: 13
Views: 60312

2 goals? 3 goals?

<t>QuoteOriginally posted by: LegoLasVegasOK, now here's my initial idea:"You don't have to know anything about the match details (given your boss cannot manipulate the outcome). YOU CAN ALWAYS CALL HIS BET!"Prove me wrong, please!I don't understand;Being really trivial you will be wrong to call his...
by MikeCrowe
March 12th, 2008, 10:13 am
Forum: General Forum
Topic: VIE (Variable Interest Entities)
Replies: 1
Views: 57847

VIE (Variable Interest Entities)

<t>They are totally different, an SIV is (in general) an example of a VIE, but SIV is a finance term, VIE is an accounting term.VIE = Variable Interest EntityThis is an accounting term that (ASAIK) only applies under US accounting, in relation to FIN 46(r), although analogies exist in other countrie...
by MikeCrowe
March 12th, 2008, 9:05 am
Forum: General Forum
Topic: What is this distribution? Any papers/references?
Replies: 1
Views: 57196

What is this distribution? Any papers/references?

Ironically after a couple of days of looking for this and then deciding to post, I've just read about the Multivariate Wallenius' Noncentral Hypergeometric Distribution, which looks like this might be a special case of.Any one know anything about this?
by MikeCrowe
March 12th, 2008, 8:36 am
Forum: General Forum
Topic: What is this distribution? Any papers/references?
Replies: 1
Views: 57196

What is this distribution? Any papers/references?

<t>I've come across a process which is pretty simple to work with on a simulation basis, but I don't know any analytic solutions for it, and wondered if anyone knows what this distribution is and if they could direct me towards any papers/research or just a name/phrase to googleImagine this process ...
by MikeCrowe
March 5th, 2008, 10:06 am
Forum: Brainteaser Forum
Topic: Optimal Gambling
Replies: 4
Views: 59434

Optimal Gambling

<t>Cool.So... that shows that the timid strategy is optimal for all p >= 1/2.The question then is, is it uniquely optimal for p=1/2. I would still expect that min(N-i,i,a) for any integer a > 0 would also be optimal.Logically, it would also make sense that if p<1/2 you should bet min(N-i,i). I am no...
by MikeCrowe
March 4th, 2008, 3:55 pm
Forum: Brainteaser Forum
Topic: Optimal Gambling
Replies: 4
Views: 59434

Optimal Gambling

<t>Not a proof, but some thoughts1) It is never optimum to bet larger than N-i, since if she wins the bet she has the same payoff as betting exactly N-i, while if she loses she is further from N.2) If she uses a constant bet size then the balance follows a simple binary tree random walk, stepping up...
by MikeCrowe
March 4th, 2008, 10:45 am
Forum: Brainteaser Forum
Topic: Coupon Collector - Probability of a given coupon
Replies: 2
Views: 60322

Coupon Collector - Probability of a given coupon

<t>Hope this hasn't already been covered (I tried searching through some old coupon collector threads, but didn't see this question)Suppose we have the coupon collector problem, with N coupons, each with different probability p_i of turning up in each trial. We want to collect k coupons.What is the ...
by MikeCrowe
January 16th, 2008, 1:38 pm
Forum: General Forum
Topic: CDS versus Bond
Replies: 11
Views: 60815

CDS versus Bond

<t>One major difference is that CDS is a two counterparty product. If you buy CDS protection from JPM on BoA then you need to watch out for either BoA or JPM defaulting.This is not a trivial default scenario since there is clearly some corrolation. A particularly unusual example is to look at CDPCs ...
by MikeCrowe
September 3rd, 2007, 9:30 am
Forum: Numerical Methods Forum
Topic: Sample Range of Normal Distribution
Replies: 5
Views: 69826

Sample Range of Normal Distribution

Alan:- I don't see the random walk connection to the range? I'm wanting the range of a random sample - nothing to do with any means?Zmei: - Thanks that looks like the sort of thing I remember, I knew it was messy!
by MikeCrowe
August 29th, 2007, 9:47 am
Forum: Numerical Methods Forum
Topic: Sample Range of Normal Distribution
Replies: 5
Views: 69826

Sample Range of Normal Distribution

<t>I've definately seen something on this a long time ago but I can't remember enough about it to search for it, so if anyone can point me in the right direction that would be great.Basically I'm looking for the pdf or cdf for the sample range of a normal distribution - i.e. With sample size n, what...
by MikeCrowe
July 5th, 2007, 7:33 am
Forum: Brainteaser Forum
Topic: Phone Number Enumeration Teaser
Replies: 3
Views: 70114

Phone Number Enumeration Teaser

I agree with that figure.By restricting the first digit to 2..9 we have 8,000,000Less 10,000 that start 911Less 10,000 that start 555Less 800 that end 0000 and start with 2..9Plus the 2 numbers 9110000 and 5550000 that we counted twice
by MikeCrowe
June 11th, 2007, 7:27 am
Forum: General Forum
Topic: A question about rating ?
Replies: 4
Views: 70392

A question about rating ?

Do they have any debt? They only need a public rating if they have public debt outstanding.
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