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A distribution is a mathematical description of probabilities or frequencies.

133 votes
Accepted

When (and why) should you take the log of a distribution (of numbers)?

If you assume a model form that is non-linear but can be transformed to a linear model such as $\log Y = \beta_0 + \beta_1t$ then one would be justified in taking logarithms of $Y$ to meet the specifi …
IrishStat's user avatar
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9 votes

Simple method of forecasting number of guests given current and historical data

There are simple methods to use but they are probably profoundly wrong as daily data presents a ton of opportunities . Simply striking daily averages is both simple and useless BUT I guess if there is …
IrishStat's user avatar
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3 votes

Differencing an i.i.d. time series

It is a little late ..... but , review the Slutsky Effect where a linear (weighted ) combinations of i.i.d. values leads to a series with auto-correlative structure. This is why assuming any filter pi …
IrishStat's user avatar
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2 votes

Time series data distribution forecast?

You are observing transactions of people becoming registered users. These transactions can be bucketed /grouped into time intervals or time buckets. Develop either a causative model or a mwmory +fixed …
IrishStat's user avatar
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2 votes

Detecting Bimodal Distribution

I have often used a scheme (Intervention Detection) even though it is not time series data to determine the presence of "an intercept change" or a change in the mean value. An intercept change is esse …
IrishStat's user avatar
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2 votes

Is is possible to fit discrete data to a continuous distribution, and use this to simulate d...

My answer/comments here (way too long for a SE comment ) don't and are not meant to respond to the particular question BUT as BACON once opined "To ask the proper question is half of knowing" . I am s …
IrishStat's user avatar
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2 votes
Accepted

What regression method should I use?

You say "Then, i tried to find the distribution of Y as plotted below. I found that Weibull distributuon fits this dataset best followed by Gamma second based off AIC/BIC." I say nonsense "The di …
IrishStat's user avatar
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1 vote
Accepted

Best approach for time series

SARIMA model https://autobox.com/pdfs/SARMAX.pdf identification is the answer following the ITERATIVE process here https://autobox.com/pdfs/ARIMA%20FLOW%20CHART.pdf . I strongly suggest that you consi …
IrishStat's user avatar
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1 vote

How to find the closest distribution of a given data?

In the spirit of the sage comment by BB "However, the arrival rate may vary (e.g. by day of the week, time of day, and so on.)" , I suggest that you present the data for the 22hours in terms of 22x60 …
IrishStat's user avatar
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1 vote

How to measure the magnitude of a change in distribution across time

For each category ; for each person .... develop a robust ARIMA model for their annual absolute spending incorporating unknown deterministic structure (pulses/level shifts/local time trends) . Now ass …
IrishStat's user avatar
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1 vote

Prediction problem by learning a distribution

If you have the data then you can compute a histogram approximating the probability density function (pdf) also known as a frequency distribution . Drawing random numbers from this pdf will not genera …
IrishStat's user avatar
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1 vote

Define prediction interval for a monthly sales pattern

This is accomplished by creating a probability distribution for each step ahead ( each day ) using error re-sampling (bootstrapping) .The k distributions containing l simulations per period ( k being the …
IrishStat's user avatar
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1 vote

How to determine if distribution in timeseries has shifted?

I used the data in http://pymc-devs.github.com/pymc/tutorial.html#an-example-statistical-model . It has 111 years of data . An appropriate model detects a Level Shift at 1887 . A level shift is one ki …
IrishStat's user avatar
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1 vote
Accepted

How do I detect the number of distributions in a set of data?

I have successsfully detected a Level Shift in series like this using Tsay's procedures http://www.unc.edu/~jbhill/tsay.pdf. His procedures although initially directed to time series are general enoug …
IrishStat's user avatar
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0 votes

Distribution of sales to generate numbers from that distribution

Capturing seasonality in multiple regression for daily data would be a good place to start. Essentially when you form a predictive model you can forecast/simulate future periods. The simulation is bas …
IrishStat's user avatar
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