ecld.cdf

ecld.ccdf

The analytic solutions for CDF and CCDF of ecld, if available.
<code>ecld.cdf_gamma</code> is a sub-module with the CDF expressed as
incomplete gamma function.
SGED is supported only in <code>ecld.cdf</code> and <code>ecld.ccdf</code>.

Hidden Markov Model (HMM) based on symmetric lambda distribution
framework is implemented for the study of return time-series in the financial
market. Major features in the S&P500 index, such as regime identification,
volatility clustering, and anti-correlation between return and volatility,
can be extracted from HMM cleanly. Univariate symmetric lambda distribution
is essentially a location-scale family of exponential power distribution.
Such distribution is suitable for describing highly leptokurtic time series
obtained from the financial market. It provides a theoretically solid foundation
to explore such data where the normal distribution is not adequate. The HMM
implementation follows closely the book: "Hidden Markov Models for Time Series",
by Zucchini, MacDonald, Langrock (2016).

Stephen Lihn

ldhmm

Hidden Markov Model for Financial Time-Series Based on Lambda
Distribution

ecld.cdf function

<dl><dt>object</dt>
<dd>an object of ecld class</dd>
<dt>x</dt>
<dd>a numeric vector of <code>x</code></dd></dl>

Arguments

Author

CDF and CCDF of ecld — ecld.cdf

<dl>

<dt>object</dt>
<dd>an object of ecld class</dd>


<dt>x</dt>
<dd>a numeric vector of <code>x</code></dd>

</dl>

ecld.cdf: CDF and CCDF of ecld

Description

Usage

Value

Arguments

Author

Examples