La soluzione integrata per l’analisi econometrica.

OxMetrics is a family of software packages providing an integrated solution for the econometric analysis of time series, forecasting, financial econometric modelling, or statistical analysis of cross-section and panel data. OxMetrics consists of a front-end program called OxMetrics, and individual application modules such as Ox, CATS, PcGive, STAMP and G@RCH. **OxMetrics Enterprise** is a single product that includes all the important components: OxMetrics desktop, Ox Professional, CATS, PcGive and STAMP and G@RCH.

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## Cosa è la suite OxMetrics?

La suite **OxMetrics **è composta da alcuni moduli che possono essere acquistati anche separatamente.

**Ox **è un software di sviluppo object-oriented basato su un potente linguaggio matriciale arricchito da una completa libreria di funzioni statistiche. I punti di forza di Ox sono la sua velocità, il ben costruito editor e le sua funzionalità grafiche. Ox può leggere e scrivere dati in molti formati, inclusi fogli elettronici; inoltre può utilizzare direttamente programmi scritti in Gauss.**Cats **è un completo software per la cointegrazione di analisi di serie temporali.**PcGive **è un completo software per la modellazione econometrica. Fornisce agli utilizzatori le più recenti tecniche econometriche: dai metodi ad equazione singola fino all’analisi cointegrata avanzata, modelli volatili (tra cui GARCH, EGARCH), panel data statici e dinamici, serie temporali (come ARFIMA, X-12-ARIMA per aggiustamenti stagionali), ecc.**Stamp **è un software per la modellazione e il forecast di serie temporali basato su modelli strutturati di serie temporali. Questi modelli utilizzano tecniche avanzate, come il Kalman filtering, ma sono strutturati per poter applicare con estrema semplicità i concetti base di trend, stagionalità e irregolarità.**G@rch** è il software della famiglia OxMetrics dedicato alla stima e alla modellazione di modelli G@rch e di tutte le numerose estensioni. Per operazioni ripetitive i modelli posso essere stimati utilizzando il Batch Editor di GiveWin o il linguaggio di programmazione Ox (insieme al software sono forniti numerosi file di esempio).

G@rch è accompagnato da un manuale cartaceo che raccoglie i più importanti contributi in questo campo.**TSP/GiveWin** è uno dei software econometrici della suite OxMetrics e offre i seguenti punti di forza:

è dotato di un ottimo sistema di inserimento dei comandi e dei dati; include tutti i metodi standard per la stima e il forecasting (incluso il metodo non lineare); include un flessibile linguaggio di programmazione per la creazione di parametri di stima personalizzati.

## Caratteristiche generali di OxMetrics

**OxMetrics** is a family of software packages providing an integrated solution for the econometric analysis of time series, forecasting, financial econometric modelling, or statistical analysis of cross-section and panel data. OxMetrics consists of a front-end program called OxMetrics, and individual application modules such as Ox, CATS, PcGive, STAMP and G@RCH.

OxMetrics Enterprise is a single product that includes all the important components: OxMetrics desktop, Ox Professional, CATS, PcGive and STAMP and G@RCH

The new release of OxMetrics 8 contains upgraded versions of Ox Professional, PcGive and G@RCH, a new version of CATS 3 (Cointegration of Time Series Analysis by Jurgen A Doornik and Katerina Juselius) and several improvements to the following modules:

### OxMetrics Enterprise Edition Version 8.0

OxMetrics Enterprise Edition is a single product that includes and integrates all the important components for theoretical and empirical research in econometrics, time series analysis and forecasting, applied economics and financial time series: Ox Professional, PcGive, G@RCH and STAMP.

### CATS 3 (Cointegration of Time Series Analysis) by Jurgen A Doornik and Katerina Juselius

CATS uses OxMetrics for data input and graphical and text output, and is part of the OxMetrics family.

The third generation of CATS is a complete rewrite in more than one way. It is now written in Ox for use within OxMetrics, either using the graphical user interface or programmatically. Furthermore, many algorithms have been improved or newly invented, in particular for I(2) models. The new CATs module with I(2) cointegration and many new I(1) cointegration features includes corrections and is considerably faster.

### Ox Professional Version 8.0

An object-oriented matrix programming language. It is an important tool for statistical and econometric programming with a syntax similar to C++ and a comprehensive range of commands for matrix and statistical operations. **Ox is at the core of OxMetrics**. Most of the other modules of OxMetrics (such as PcGive, STAMP, G@RCH) are implemented with the Ox language. Ox Professional belongs to the**OxMetrics Enterprise Edition**.

### PcGive Professional Version 15.0

An essential tool for modern econometric modelling. PcGive Professional is also part of **OxMetrics Enterprise Edition**. It provides the latest econometric techniques, from single equation methods to advanced cointegration, volatility models static and dynamic panel data models, discrete choice models and time-series models.

#### PcGive Professional includes Autometrics

Autometrics is the automatic econometric model selection procedure that is available in PcGive. Autometrics is a revolutionary new approach to model building, based on recent advances in the understanding of model selection procedures. Experiments show that Autometrics outperforms even the most experienced econometrician. Starting from an initial model, Autometrics will find the best simplified model. Thus removing the drudgery of model selection, allowing you to concentrate on the variable choice and interpretation of the model(s).

### G@RCH Version 8.0

G@RCH is an OxMetrics module dedicated to the estimation and forecast of univariate and multivariate ARCH-type models. It also allows the estimation of univariate and multivariate non-parametric estimators of the quadratic variation and the integrated volatility. G@RCH provides a menu-driven easy-to-use interface, as well as some graphical features. For repeating tasks, the models can be estimated via the Batch Editor of OxMetrics or using the Ox language together with the ‘Garch’, ‘MGarch’ and ‘Realized’ classes. Version 8.0 is a major update that features many improvements. G@RCH is also part of **OxMetrics Enterprise Edition**.

### STAMP Version 8.3

Modelling and forecasting time series, based on **structural time series models**. These models use advanced techniques, such as Kalman filtering, but are set to be easy to use. The hard work is done by the program, leaving the user free to concentrate on formulating models, then using them to make forecasts. STAMP 8.3 includes both univariate and multivariate models and automatic outlier detection. STAMP is also part of **OxMetrics Enterprise Edition**.

### SsfPack Version 3.0

SsfPack is a suite of C routines for carrying out computations involving the statistical analysis of univariate and multivariate models in state space form and requires Ox 4 or above to run. SsfPack is not a member of OxMetrics Enterprise Edition.

*** OxMetrics 8 and SSfPack users please note:** SSfPack 3.0 has been recompiled to be compatible with OxMetrics 8 and requires users to reinstall a new version of the software.

### TSP/OxMetrics

Developed by TSP International, TSP/OxMetrics is an econometric software package, with convenient input of commands and data, all the standard estimation methods (including non-linear), forecasting, and a **flexible language for programming** your own estimators. TSP can be installed as a module of OxMetrics – TSP/OxMetrics. This eases the use of the command-line environment by providing context sensitive help, syntax highlighting, and a dialog-driven command builder.

**Individual or any combination of OxMetrics modules are available for purchase**.

**Le novità** di OxMetrics

**What’s New in OxMetrics 8**

- OxMetrics 8 (Front End)
- CATS 3 (Cointegration of Time Series Analysis)
- Ox 8.0
- G@RCH 8.0
- PcGive 15
- STAMP 8

### OxMetrics 8 (front end)

The following lists the new features and improvements made to the OxMetrics front end in version 8. Current users of OxMetrics 7 will find that the user experience remains familiar.

The most important new features are:

- Windows: support for high resolution screens (HiDPI).
- Windows: tabbed user interface.
- All: interface refresh.
- macOS: OxMetrics is now a 64-bit program, so client programs are now 64-bit as well.
- maxOS: Find replace dialog can remain open while working elsewhere.
- Graphs can be saved as SVG.

### CATS 3 (Cointegration of Time Series Analysis) by Jurgen A Doornik and Katerina Juselius

CATS uses OxMetrics for data input and graphical and text output, and is part of the OxMetrics family.

The third generation of CATS is a complete rewrite in more than one way. It is now written in Ox for use within OxMetrics, either using the graphical user interface or programmatically. Furthermore, many algorithms have been improved or newly invented, in particular for I(2) models. The new CATs module with I(2) cointegration and many new I(1) cointegration features includes corrections and is considerably faster.

Here is a brief summary of new features in the I(1) part of CATS

- Much more efficient computations (can be several orders of magnitude faster) in Bartlett correction and recursive estimation;
- Bartlett correction always included when valid;
- Improved beta-switching algorithm;
- New alpha-beta-switching algorithm allowing linear restrictions on alpha and not requiring identification;
- Bootstrap of rank test;
- Bootstrap of restrictions;
- More Monte Carlo facilities: draw from estimated model, either with estimated or with specified coefficients;
- General-to-specific CATSmining;
- Automatic generation of Ox code;
- New convenient way to express restrictions;
- Most algorithms QR based.

And for the I(2) part of CATS:

- Improved tau-switching algorithm;
- New delta-switching algorithm;
- New triangular-switching algorithm allowing linear restrictions on alpha, beta, tau and not requiring identification;
- Estimation with delta=0;
- Bootstrap of rank test;
- Simulation of asymptotic distribution of rank test;
- Bootstrap of restrictions;
- More Monte Carlo facilities: draw from estimated model, either with estimated or with specified coefficients;
- Automatic tests of unit vectors and variables;
- CATSmining;
- Improved computation of standard errors;
- Automatic generation of Ox code;
- All algorithms QR based.

The Special Issue reprint book “Recent Developments in Cointegration” has been published online and is freely accessible on the MDPI Books platform here

### Ox

Ox is an object-oriented matrix programming language with a comprehensive mathematical and statistical function library. Matrices can be used directly in expressions, for example to multiply two matrices, or to invert a matrix. The major features of Ox are its speed, extensive library, and well-designed syntax, which leads to programs which are easier to maintain.

#### Running Ox programs

There are two versions under Windows:**Ox Professional**

oxl.exe for use in a command prompt (console) window, oxrun.exe for full graphical functionality in conjunction with OxMetrics. The oxrun and oxli programs have an interactive and debug mode. Executables are in ox\bin.**Ox Console**

oxl.exe for use in a command prompt window.

#### New Features and enhancements in Ox Version 8.0

- Changes to
`Modelbase`

mean that oxo files of Modelbase derived classes need to be recompiled:`GetOx*`

functions have additional sClass argument; also introduced`GetOxDecl,GetOxDatabase`

.`Y_VAR`

constants have been moved into the class (derived classes should do the same with their constants). This avoids clashes when using multiple classes in one project. So we need to write (e.g.)`model.Select(Arfima::Y_VAR, ...`

instead of`model.Select(Y_VAR, ...`

For convenience a mechanism has been added to use strings instead of constants:`model.Select("Y", ...`

model.SetMethod("NLS");

To support this,`Modelbase`

has two new virtual functions`FindGroup,FindMethod`

which rely on the new virtual functions`GetGroupLabels,GetMethodLabels`

. The derived class should override`GetGroupLabels,GetMethodLabels`

to return the correct array of strings.

- Can save graphs as SVG file.
`savesheet`

to save two-dimensional array as Excel file (counterpart to loadsheet)- Improved handling of array entries with no value
`(.Null)`

:- when created using new, array elements will be
`.Null`

- can test
`.Null`

equality (only) using`arr[i] == .Null`

- can assign
`arr[i] = .Null`

- but using a variable with a
`.Null`

value in an expression remains a run-time error.

- when created using new, array elements will be

- The three dots in a function header, indicating variable number of arguments, can now be followed by a variable name. E.g:
- Three dots in a function call spreads an array, so
`func1(...a)`

equals`func1(a[0], a[1], a[2])`

if a is an array with three elements. The array cannot have more than 256 elements. - Read Stata 13 and 14 .dta files.
- Can skip items in multiple assignment, as well as use it in decl, e.g.
`decl [a, b, c] = {1, 2, 3};`

[a,,c] = {1, 3}; - %#v on array of strings: omit top level {} (useful for generating code)
`fwrite/fread`

can have a filename as the first argument. E.g.,

`fread("filename", &s, 's')`

reads an entire file into one string,`fwrite("filename", s)`

saves a string as a file.`diagcat(a, b, ...);`

to concatenate more than two matrices.

- Added p-value format for printing: e.g.
`print("%9.3P", 1e-6)`

prints`"[0.000]***"`

. The format is three stars for significance below 0.001, two for below 0.01, one for below 0.05. - The default line length for output is now 1024 (was 80 before). This can be changed using the
`format`

function. - using G,E,F format to print . for .NaN.
- Added %rs and %cs to matrix format to specify row and column separator

#### Fixed Problems in Ox version 8.0

- confusion with norm: using ‘F’ on vector computes l_70 instead of l_2, now using l_2 for ‘F’ (assuming l_70 is never needed).
- continue in switch can lead to stack overflow (missing a pop).
- It is safe to redeclare constants within a class (provided they don’t change value), but that symbol was counted eventhough not added, resulting in NULL symbol at the end of the list of class symbols, which crashed.

### G@RCH 8.0

- The G@RCH book is now available in pdf accessed from within the software.
- G@RCH 8.0 comes along with Ox Professional. This major change allows G@RCH users, who previously did not purchase OxMetrics Enterprise, to run ox programs and in particular the numerous example files provides with G@RCH as well as the codes generated with ‘ALT+o’ after the estimation of a model with the rolling menus.
- A new option is available for the Lee and Mykland (2008) and Lee and Hannig (2010) tests for jumps. This option allows both tests to have better finite sample properties when the underlying process deviates from the random walk hypothesis (with and without jumps). The correction has been proposed by Laurent and Shi (2018).
- Following the simulation method advocated by Blasques, Lasak, Koopman, and Lucas (2016), in-sample confidence bands for the conditional mean and conditional variance of univariate GARCH-type models are now available. This allows to visually investigate the precision of the estimates of the first two conditional moments.
- The tool introduced in version 7.0 to convert a date of the format yyyymmdd, yyyyddmm, ddmmyyyy or mmddyyyy into a proper OxMetrics format is now also accessible via the rolling menus in Category ‘Other Models’ and Model Class ‘Convert Date using G@RCH’.
- A bug has been corrected in MGarch on the inclusion of explanatory variables in the mean and variance of DCC-type of models.
- The G@RCH classes (Garch, MGarch and Realized) uses enumerations, i.e., lists of integer constants like enum { HESS, CROSSPRODUCT, QMLE };. By default, the first member has value 0, and each successive member has a value of one plus that of the previous member. In order to avoid clashes with other classes imported in the same project, enumerations have been moved into the classes as public members. Therefore, they can still be accessed from outside of the class but using the following convention: mgarchobj.MLE(MGarch::HESS); (where MGarch is the class name) instead of mgarchobj.MLE(HESS); like in the previous versions. Note that this is equivalent to using mgarchobj.MLE(0); because HESS is the first element of the enumeration.
- The test for additive jumps in AR-GARCH/GJR models proposed by Laurent, Lecourt, and Palm (2016) is available in Category ‘Other Models’ and Model Class ‘Descriptive Statistics using G@RCH’ and by calling the new class function Run Test Additive Jumps of the Garch class or the RGARCH class directly (which is available in the same folder as Garch.oxo). Several example files are also provided to estimate a BIP-AR-GARCH/GJR model and to extract the detected jumps in ox.
- Several minor bugs have been corrected.

### PcGive 15

**Fixed and Improved in PcGive 15**

- Easier desktop layout with additional direct access to recursive graphs, forecasts and tests
- Trend indicator saturation (TIS) (we have undertaken research using TIS on GPs speed of takeup of generics, which yielded useful results, but still in progress, as is the technical paper)-note this as PcGive being at the frontier implementing powerful new approaches
- Recursive graphs can be implemented after conventional estimation rather than needing a separate implementation, and can be undertaken with or without indicator saturation (IS)
- Additional diagnostic plots are available
- Easy choice of form of estimated parameter standard errors (SEs) including HCSE and HACSE.
- Multivariate robust Hedgehog plots had variables scrambled.
- Hedgehog plots use a different color in the forecast period.
- Hedgehog Levels forecasts beyond estimation sample: not integrated
- Levels forecasts with gap: created cGap extra forecasts Also used wrong levels if cGap > 0.
- Recursive hedgehog would omit early part when there are dummies
- Fixed Ox issue with find, affecting forecasting

**Unique to PcGive 15**

- Hedgehog graphs where a sequence of forecasts for say 1 through 8 steps ahead starting at successive horizons T, T+1, etc. are plotted against outcomes looking like the spins of a hedgehog.
- Easily computed forecasts by a robust device as an additional choice to avoid that problem: an illustration is attached showing how much better the robust device is after a shift.

### STAMP 8.3

#### New Features

- STAMP 8.3 works under OxMetrics 6.1.
- The Ox code generator is introduced and fully supported by STAMP. This new facility can generate Ox code for the model that is estimated in STAMP. It complements the Batch code generator in STAMP. It is particularly useful for those who use Ox for time series analysis in a production environment.
- The online help facility of STAMP is updated. In particular, the online help for the Batch language and the new Ox code generator are rewritten.

#### Solved problems

- All weights and related computations in the Test/Weights dialog can be carried out, also for time series with missing data.
- The Write forecasts option is combined with a Store forecasts option in the Test/Forecasting dialog. The observations forecasts are stored after confirmation as a new variable with the forecasts attached at the end of the sample. When necessary, the database sample is automatically extended such that the forecast window is included. The in-sample values of the new variable are the same as in the original series.
- The Edit/Save forecasts option in the Test/Forecasting dialog is reactivated for model without explanatory variables.
- The Batch code options for Forecasting is extended; see Batch documentation.
- Variables and components in the Batch code need to be written between accolades. Specifically, in the setcmp batch command we have “level”, “slope”, “seasonal”, “cycle”, “ar” and “irregular”.
- Inclusion of lagged dependent variables is discouraged. A new facility will be built in for the next version. In this version it is best to treat and to have it as an exogenous variable.

## Requisiti di sistema di OxMetrics

The current OxMetrics software family supports the latests versions of Microsoft Windows, Mac OS and Linux. See below to see if your machine is compliant with the latest version:

**32-bit:**Windows 10, 8, 7, Vista, XP; Linux (i386); OS X**64-bit:**Windows 10, 8, 7, Vista, XP; Linux (x86_64); OS X