Fun Stat Problem, see if you can solve it.

DVK916

Banned
Dec 12, 2005
2,765
0
0
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt many on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X

 
Jun 27, 2005
19,216
1
61
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt anyone on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X

What a condescending little prick...
 

DVK916

Banned
Dec 12, 2005
2,765
0
0
Originally posted by: Whoozyerdaddy
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt anyone on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X

What a condescending little prick...



Anyone was a typo, I wanted to type many.
 
Jun 27, 2005
19,216
1
61
Originally posted by: DVK916
Originally posted by: Whoozyerdaddy
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt anyone on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X
What a condescending little prick...
Anyone was a typo, I wanted to type many.
Whatever you say UCDAg... I mean DVK916.

 

chuckywang

Lifer
Jan 12, 2004
20,133
1
0
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt many on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X

You're an ECE major taking a course in random processes?
 

DVK916

Banned
Dec 12, 2005
2,765
0
0
Originally posted by: chuckywang
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt many on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X

You're an ECE major taking a course in random processes?
No I am a stat major. This is Bayesian Statistics.
 

krotchy

Golden Member
Mar 29, 2006
1,942
0
76
Originally posted by: DVK916
Originally posted by: chuckywang
The least square estimator of Y|X is just E[Y|X].

Derive it please.

I can ask pointless questions too:

What are the Body and Spatial Jacobians of a planar pendulum on a free moving axis, where L = pendulum length, m = pendulum mass, theta = angle from the Y axis. X=the distance from the origin the pendulum joint has moved.

Please note to simplify the problem, you may assume the pendulum is in SE2 and consists of a massless wire is with a point mass at the end. Also note gravity exists in the -Y direction.

p.s. if anyone answers this I will be amazed, heck if anyone even knows how to derive the body and spatial Jacobian of anything more power too yah :).

 

DVK916

Banned
Dec 12, 2005
2,765
0
0
Originally posted by: krotchy
Originally posted by: DVK916
Originally posted by: chuckywang
The least square estimator of Y|X is just E[Y|X].

Derive it please.

I can ask pointless questions too:

What are the Body and Spatial Jacobians of a planar pendulum on a free moving axis, where L = pendulum length, m = pendulum mass, theta = angle from the Y axis. X=the distance from the origin the pendulum joint has moved.

Please note to simplify the problem, you may assume the pendulum is in SE2 and consists of a massless wire is with a point mass at the end. Also note gravity exists in the -Y direction.

p.s. if anyone answers this I will be amazed, heck if anyone even knows how to derive the body and spatial Jacobian of anything more power too yah :).

This isn't a pointless question, some systems might actually follow the distributions I described.
 

krotchy

Golden Member
Mar 29, 2006
1,942
0
76
Originally posted by: DVK916
Originally posted by: krotchy
Originally posted by: DVK916
Originally posted by: chuckywang
The least square estimator of Y|X is just E[Y|X].

Derive it please.

I can ask pointless questions too:

What are the Body and Spatial Jacobians of a planar pendulum on a free moving axis, where L = pendulum length, m = pendulum mass, theta = angle from the Y axis. X=the distance from the origin the pendulum joint has moved.

Please note to simplify the problem, you may assume the pendulum is in SE2 and consists of a massless wire is with a point mass at the end. Also note gravity exists in the -Y direction.

p.s. if anyone answers this I will be amazed, heck if anyone even knows how to derive the body and spatial Jacobian of anything more power too yah :).

This isn't a pointless question, some systems might actually follow the distributions I described.

yes, but the fact that you took a class or read a book on how to do this doesn't prove any more than me deriving Jacobian of a real system
 

ebaycj

Diamond Member
Mar 9, 2002
5,418
0
0
Originally posted by: DVK916
I want to see if anyone here can solve this stat problem.


This is a fun and challenging stat problem, that I doubt many on here could do.

X|Y ~ Exponential(Y)
Y ~ Poisson(L)

Derive the least square estimator of Y|X


Believe it or not, you're not the only person in the world who has studied statistics.
 

ebaycj

Diamond Member
Mar 9, 2002
5,418
0
0
Originally posted by: krotchy
Originally posted by: DVK916
Originally posted by: chuckywang
The least square estimator of Y|X is just E[Y|X].

Derive it please.

I can ask pointless questions too:

What are the Body and Spatial Jacobians of a planar pendulum on a free moving axis, where L = pendulum length, m = pendulum mass, theta = angle from the Y axis. X=the distance from the origin the pendulum joint has moved.

Please note to simplify the problem, you may assume the pendulum is in SE2 and consists of a massless wire is with a point mass at the end. Also note gravity exists in the -Y direction.

p.s. if anyone answers this I will be amazed, heck if anyone even knows how to derive the body and spatial Jacobian of anything more power too yah :).

Believe it or not, you're not the only person in the world who has studied physics + vector calculus.
 

TallBill

Lifer
Apr 29, 2001
46,017
62
91
Originally posted by: ebaycj

Believe it or not, you're not the only person in the world who has studied physics + vector calculus.

Believe it or not, but George W. Bush is your president.