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Questions tagged [mle]

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0 votes
0 answers
60 views

Taking a set of normally distributed random variables as the sample space to fitting an exponential distribution

Disclaimer, this is my first question/interaction in this forum. Let's assume I have random variables that are normally distributed. Then, say I take the observations that are greater than the mean, i....
ak10's user avatar
  • 1
0 votes
0 answers
515 views

Efficient way to perform MLE on Merton Jump Diffusion model parameters?

I understand that under Merton Jump Diffusion Model, if we are going to estimate the parameters $ \alpha, \sigma,\mu_J, \delta, \lambda $, we can use maximum likelihood estimation on the probability ...
Paul's user avatar
  • 1
-2 votes
1 answer
86 views

ready codes for calculating integrals, FFT, MLE, drawing graphs, simulate trajectories [closed]

I'm looking for ready-made codes (R, Python or Matlab) for calculating integrals, simulate trajectories of stochastic processes (like CGMY), Fast Fourier Transform, maximum likelihood estimation and ...
Math122's user avatar
  • 443
11 votes
2 answers
944 views

Oil price model calibration with Kalman Filter and MLE in python

I am trying to calibrate a one-factor mean-reverting process in python 3. The process is defined as: \begin{equation} dX = k(\alpha - X)dt + \sigma dW , \end{equation} where $\alpha = \mu - \frac{\...
gte's user avatar
  • 143
1 vote
2 answers
3k views

How to fix my Ornstein-Uhlenbeck parameter MLE in Python?

I am trying to fit time-series data into an Ornstein-Uhlenbeck process. Here is my code so far: ...
Shile Wen's user avatar
  • 111
0 votes
1 answer
237 views

Suggestions for choosing an optimization algorithm for fitting custom GARCH models by QMLE in R?

I am trying to fit a custom GARCH model by QMLE in R. I have written out the log likelihood function and am now working on optimizing it. However, choosing an optimization algorithm has proven to be ...
Alba's user avatar
  • 186
1 vote
0 answers
48 views

Likelihood increases on increasing variance of measurement error in kalman filter

I tried to fit a local trend model to daily data of a currency. I used the "dlm" package and tried to estimate the parameters V (measurement noise) and W (the process noise) via maximum likelihood. ...
pppp_prs's user avatar
  • 173
0 votes
1 answer
4k views

MLE error in R: initial value in 'vmmin' is not finite

I am trying to fit an ARIMA(1,1)-GARCH(1,1) model. I changed the starting values a lot but still its returning the same error. Below is my code which contains two functions ...
pppp_prs's user avatar
  • 173
1 vote
1 answer
65 views

Can GARCH volatility simulations generally be applied to return-modelling models?

This may be a naive question, but I still hope some discussion can elucidate a (so far) totally nebulous point for me. I've recently learned that GARCH models can give one simulations of ...
Coolio2654's user avatar
1 vote
1 answer
1k views

How to estimate lambda for Jump-Diffusion Process from Empirical data?

So, I have really no idea how to go about this, but how would I go about choosing sensible parameter values for a basic jump-diffusion simulation, namely $\lambda$ ? For example, getting the average ...
Coolio2654's user avatar
0 votes
0 answers
68 views

Good introduction to estimating stochastic diffusion processes?

So, in an advanced Econometrics course, the current topic relates to estimating transition densities and diffusion processes by MLE, such as this R package doc describes, for ex., and I have to admit ...
Coolio2654's user avatar
6 votes
0 answers
142 views

Estimation of right truncated poisson process

I have following problem: Imagine I generate large number of homogenous poisson process sample paths (by sample path I mean a sequence of arrival times $\tau_i$ all with the same intensity. However ...
Michael Mark's user avatar