Linked Questions
10 questions linked to/from Estimate normal distribution from small sample with rankings
5
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How to calculate log-normal distribution parameters with partial data? [duplicate]
Imagine we have a partial data and we know that this partial data represent only the left 5% of the log-normal distribution, which the overall data follow. How can we calculate the mean-log and sd-log ...
4
votes
1
answer
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Joint pdf of functions of order statistics
Let $ Y_1 < Y_2 <\ldots <Y_{10}$ be the order statistics of a random sample from a continuous type distribution with cdf $F(x)$. How would I begin to show that the joint distribution of $V_1=...
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2
votes
2
answers
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Estimating the distribution from percentile score, top 50 and curve
I'm trying to estimate how many people participated in a game competition and what my percentile score is based on some public data provided by the host.
The data I have is:
Top 50 leaderboard (Let'...
- 207
1
vote
1
answer
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Maximum Likelihood Estimator for Censored Data
Let $X^n=(X_1,X_2,...,X_n)$ denote a sample where
(1) $X_i=\mathbf 1_{(\epsilon_i + \mu \geq 0)}(\mu+\epsilon_i)+\mathbf 1_{(\epsilon_i + \mu \leq 1)}(\mu+\epsilon_i)+\mathbf 1_{(\epsilon_i + \mu &...
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4
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1
answer
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Is it possible to find the 99th percentile using other percentiles?
I have the 10th, 20th, 25th, 30th, 40th, 50th (I assume this is the same as the mean), 60th, 70th, 75th, 80th and 90th percentile values of a data set. This is for the distribution of salaries in the ...
4
votes
1
answer
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Fit a parametrized distribution on a set of quantiles
first of all, I'm not a statistician nor a data scientist, but a software developer. Thus, although I do have some (old) knowledge in statistics and probabilities, my vocabulary may not be very ...
1
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0
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If I have 25th, 50th and 75th percentile, can I estimate 99th percentile?
Supposing I have only:
25th percentile: 0.56
50th percentile: 0.70
75th percentile: 1.10
I don’t know other data (sample size, mean etc. ). Only those three value.
And assuming data is normal ...
- 41
1
vote
1
answer
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Making sense of this section on likelihood of order statistics
I am currently studying the textbook In All Likelihood by Yudi Pawitan. In chapter 2 Elements of likelihood inference, the author presents the following example:
Example 2.4: Suppose $x$ is a sample ...
- 1,546
1
vote
0
answers
44
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mean and MSE of Interval censored data
I have been handed data that is interval censored where left censoring is limit of detection and right censoring is saturation of the assay. How do I estimate the means and mean standard errors of ...
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0
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How to calculate the likelihood for a normal distribution N(theta, 1) if we only know the maximum of a sample?
Assuming iid samples x ~ N(theta, 1), we have a sample of 5 observations with maximum value = 3. How to calculate the likelihood?
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