Parameter estimation (Uniform Distribution)- Urgent Help Needed
$begingroup$
I want to estimate a parameter $k$, from my data $(y_1,y_2, ....,y_n)$ which are independent and identically distributed.
$k=a$, $;$$;$$;$$;$$;$$;$ if $y_i$ is uniformly distributed on $[a,b]$ or $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$$;$ $;$
$k=a+1$, $;$ if $y_i$ is uniformly distributed on $[a+1, b+1]$.
My question is this: What are the problems of estimation and inference in my model? The discussions I have seen so far do not answer my question
Note: I must consider at least 2 different consistent estimators of $k$
Thanks.
probability probability-distributions parameter-estimation
asked Dec 17 '18 at 5:09
PacmanPacman
1
$endgroup$
add a comment |
$begingroup$
I want to estimate a parameter $k$, from my data $(y_1,y_2, ....,y_n)$ which are independent and identically distributed.
$k=a$, $;$$;$$;$$;$$;$$;$ if $y_i$ is uniformly distributed on $[a,b]$ or $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$$;$ $;$
$k=a+1$, $;$ if $y_i$ is uniformly distributed on $[a+1, b+1]$.
My question is this: What are the problems of estimation and inference in my model? The discussions I have seen so far do not answer my question
Note: I must consider at least 2 different consistent estimators of $k$
Thanks.
probability probability-distributions parameter-estimation
asked Dec 17 '18 at 5:09
PacmanPacman
1
$endgroup$
$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27
add a comment |
$begingroup$
I want to estimate a parameter $k$, from my data $(y_1,y_2, ....,y_n)$ which are independent and identically distributed.
$k=a$, $;$$;$$;$$;$$;$$;$ if $y_i$ is uniformly distributed on $[a,b]$ or $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$$;$ $;$
$k=a+1$, $;$ if $y_i$ is uniformly distributed on $[a+1, b+1]$.
My question is this: What are the problems of estimation and inference in my model? The discussions I have seen so far do not answer my question
Note: I must consider at least 2 different consistent estimators of $k$
Thanks.
probability probability-distributions parameter-estimation
asked Dec 17 '18 at 5:09
PacmanPacman
1
$endgroup$
I want to estimate a parameter $k$, from my data $(y_1,y_2, ....,y_n)$ which are independent and identically distributed.
$k=a$, $;$$;$$;$$;$$;$$;$ if $y_i$ is uniformly distributed on $[a,b]$ or $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$ $;$$;$ $;$
$k=a+1$, $;$ if $y_i$ is uniformly distributed on $[a+1, b+1]$.
My question is this: What are the problems of estimation and inference in my model? The discussions I have seen so far do not answer my question
Note: I must consider at least 2 different consistent estimators of $k$
Thanks.
probability probability-distributions parameter-estimation
probability probability-distributions parameter-estimation
asked Dec 17 '18 at 5:09
PacmanPacman
1
asked Dec 17 '18 at 5:09
PacmanPacman
1
asked Dec 17 '18 at 5:09
PacmanPacman
1
asked Dec 17 '18 at 5:09
PacmanPacman
1
asked Dec 17 '18 at 5:09
PacmanPacman
1
1
$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27
add a comment |
$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27
$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27
add a comment |
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$begingroup$
Huh? why repeat yourself with a $+1$?
$endgroup$
– user10354138
Dec 17 '18 at 5:19
$begingroup$
it's not a repetition. k takes each of those values depending on the known distribution of Y. But you'll notice the overlap in the two possible distributions of Y, hence the question about the possible problems with the estimation / inference
$endgroup$
– Pacman
Dec 17 '18 at 5:27