HALOWERK statwerk

Assembles a macroeconomic profile of a country from World Bank indicators, and refuses to present it as a snapshot of one year. Official statistics arrive on different schedules: real GDP growth may be current to last year while a labour force figure lags by three, and a profile that omits this sile

Returns harmonised consumer price inflation for several countries over a period, taken entirely from the European harmonised index so the numbers are actually comparable. That constraint is the product: national consumer price indices use different baskets, treat owner-occupied housing differently a

Combines the unemployment rate, the job vacancy rate and the activity rate for one or more countries into a tightness assessment. The measure that carries the signal is the relation between vacancies and unemployment, not the unemployment rate on its own: four percent unemployment alongside a high v

Returns annual gross earnings and hourly labour costs per country, in national currency or euro and in purchasing power standards, and never blends the two. The separation is the point: forty-five thousand euro in one country and twenty-two thousand in another is a factor of two nominally and much l

Builds a demographic demand profile and shows its work. Population level and growth, the shares aged under fifteen and over sixty-five, the dependency ratio, urbanisation, life expectancy and fertility are retrieved with their individual periods, and from them a set of derived readings is produced —

Returns the energy import dependency rate for one or more countries, overall and split by solid fossil fuels, oil and petroleum products, and natural gas, together with the trend across the available years. The measure is defined as net imports over gross available energy, which means a net exporter

Returns the main trading partners of a country for exports and imports, each with its share, and the concentration of that distribution measured by the Herfindahl-Hirschman index over partner shares. Concentration is the measure that carries the signal: a country sending thirty percent of exports to

Combines the general government debt ratio, the budget balance, nominal GDP growth and the long-term government bond yield into a debt pressure reading. The quantity that decides the trajectory is the differential between the interest rate and the nominal growth rate: below zero the debt ratio falls

Reports the credit-to-GDP gap for a country, which is the deviation of the credit ratio from its long-run trend and the quantity the Basel framework uses to trigger the countercyclical capital buffer. The thresholds applied are the regulatory ones — the buffer starts to build at a gap of two percent

Returns the residential property price index for a country in both nominal and inflation-adjusted form, with growth rates over one, five and ten years for each and the difference between them stated as its own field. That difference is the substance: a five percent nominal rise against six percent i

Returns carbon dioxide emissions for one or more countries on three bases at once: per inhabitant, per unit of purchasing-power-adjusted output, and in absolute megatonnes, each with its own period and its trend over the requested window. Keeping the three apart is the point. Per capita answers how

Returns the standard digital adoption indicators per country with their periods, trends and change over the window. The distinction the response insists on is between usage and subscriptions: mobile subscriptions per hundred inhabitants routinely exceed one hundred because of second SIMs, devices an

Returns the outstanding cross-border positions of banks located in a reporting country against counterparties in another, from the BIS locational banking statistics, split into claims and liabilities and never netted silently. The separation matters: a jurisdiction showing large claims and large lia

Solves a bounded dense multi-output least-squares problem and returns the minimum-norm solution together with the diagnostics that say whether it can be trusted: numerical rank, the full singular value spectrum, the rank threshold actually applied, the residual, and the effective condition number. A

Factors a matrix into rank-k left and right factors with their singular values, optionally centering the columns first, and states what the compression actually cost: the Frobenius reconstruction error against the input and the fraction of spectral energy retained. The full spectrum comes back too,

Computes the full eigendecomposition of a real symmetric operator and reports the signed eigenvalues, the orthonormal eigenvectors, and the inertia — how many eigenvalues are positive, negative and indistinguishable from zero at the stated tolerance. Two residuals are returned as evidence rather tha

Produces the two transforms a stochastic model normally needs from a covariance: the whitening matrix that maps correlated data to unit-variance uncorrelated data, and the coloring matrix that goes back the other way. Both are returned so the round trip is available without a second call. The minimu

Applies the standard affine propagation of uncertainty: the mean goes through the transform and offset, the covariance through the transform on both sides, and the independent noise covariance is added. This is the prediction step of a Kalman filter and the workhorse of any linear error budget. What