Questions tagged [kernel]

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8
votes
2answers
2k views

How to use a realized kernel?

I've read that realized kernels are the thing to use for calculating daily volatility from high-frequency data. So I've got minute data, how do I actually use such a kernel? Will it give me minute-ly ...
7
votes
2answers
1k views

How do you synthesize a probability density function (pdf) from equally weighted price data?

What I'm working with: I have a collection of prices that has very few to no repeating values (depending on the look back period) ie each price value is unique, some prices are clustered and some can ...
4
votes
1answer
441 views

Data Selection for Empirical Pricing Kernel Estimation (Stochastic Discount Factor)

I want to estimate an empirical pricing kernel for an index. Hence, I need to estimate a physical and risk neutral density. For estimating the physical density, only the index data in an observed time ...
4
votes
1answer
178 views

Estimating investor's utility from the trades data

Is it possible to infer investor's utility function from the set of decisions she is making? Let's assume for simplicity that the market consists of a single traded asset whose return distribution is ...
4
votes
1answer
203 views

How to properly cross-validate when optimizing SVM classification?

I'm using SVM binary classification to predict movement of NASDAQ stock prices. My question is regarding cross-validation. I will divide the training data into V subsets. Training will be performed on ...
4
votes
0answers
79 views

Is non-stationarity an issue during copula estimation?

In this paper (1), on page 14 (section 4), the author presents an empirical experiment on the computation of a copula through the use of kernels. To do so, he uses the following stochastic process (...
2
votes
1answer
135 views

Finding robust regions of multidimensional parameter combinations in trading strategies

Trading strategies often have many degrees of freedom. As a toy example let's say you have two moving averages (MA) which trigger a trade each time they cross each other: There are at least two ...
2
votes
2answers
191 views

Markov Pricing kernel

I'm reading about Markov pricing kernels in the lecture notes of a course I'm following, but I have a big doubt on an application of Ito's lemma. The setting is the following: We define the pricing ...
1
vote
0answers
160 views

Intraday Volatility using Realized Kernels

Since the papers about realized volatility calculate daily volatility out of intraday data, is it also possible to apply same methods to calculate e.g. 10 minutes volatility by smaller sampled data e....
1
vote
0answers
359 views

Pricing binary options with kernel density estimation

Suppose I have a large enough set of prices of an asset, from which I can extract the following function: $f:T\to\mathcal{D}$, where $T$ is a fixed finite set of time intervals (say, 1 minute, 2 ...