mathematics

XploRe

XploRe is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand XploRe rather than just read about it. In short: XploRe was a commercial statistics software package, developed by the German software company MD*Tech around Prof. Dr.

Key takeaways

XploRe belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect XploRe to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of XploRe from memory before moving on to harder problems.

Reference excerpt

XploRe was a commercial statistics software package, developed by the German software company MD*Tech around Prof. Dr. Wolfgang Härdle. XploRe has been discontinued in 2008, the last version, 4.8, is available for download at no cost. The user interacted with the software via the XploRe programming language, which is derived from the C programming language. Individual XploRe programs were called Quantlets.

Functions Besides the standard functions for one- and multidimensional data analysis the focus was on non- and semiparametric modelling and the statistics of financial markets.

Kernel density estimation and regression (kernel regression) Single index models Generalized linear and additive models (GLM and GAM) Value at risk (VaR) and implied volatilities

XploRe Quantlet Client With the XploRe Quantlet Client users were able to run XploRe as Java applet in a web browser. The applet sent the user commands via a TCP/IP based communication protocol to the XploRe Quantlet Server, which computed the necessary results and sent them back to the client. This technology was also used to enrich (electronic) books with interactive examples.

See also Comparison of statistical packages

Literature Härdle, Klinke, Müller. XploRe Learning Guide. Springer. ISBN 3-540-66207-3 Härdle, Klinke, Müller. XploRe Applications Guide. Springer. ISBN 3-540-67545-0

External links Official website

Worked examples

Example 1 — a first encounter with XploRe

Start with the simplest possible case. Write down what XploRe claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to XploRe before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about XploRe ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of XploRe

In research: XploRe appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses XploRe in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: XploRe is common in secondary-school and first-year university syllabi. It links to neighbouring topics Discontinued software, Statistical programming languages, Windows-only freeware, so understanding it makes those chapters shorter.
In everyday life: Look for XploRe outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study XploRe in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what XploRe means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain XploRe out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is XploRe in simple terms?

XploRe was a commercial statistics software package, developed by the German software company MD*Tech around Prof. Dr.

Why does XploRe matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study XploRe?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on XploRe.