New procedure to estimate plasma parameters through the q-Weibull distribution by using a Langmuir probe in a cold plasma

We describe a procedure to obtain the plasma parameters from I-V Langmuir curve by using Druyvesteyn equation. propose include two new parameters, $q$ and $r$, usual parameters: potential ($V_p$), floating ($V_f$), electron density ($n$), temperature ($T$). These can be particularly useful represent non-Maxwellian distributions. The is based on fit of with $q$-Weibull distribution function, motivated recent works which use $q$-exponential function derived Tsallis statistics. employing three techniques: numerical differentiation Savitzky Golay (SG) filters, function. explain limitations where experimental data $V>V_p$ needs trimmed beforehand, this results in lower accuracy compared SG. To overcome difficulty, introduced as natural generalization distribution, it has greater flexibility order concavity change around $V_p$. apply analyze measurements corresponding nitrogen $N_2$ cold obtained single probe located at different heights cathode. show that parameter very stable value height. This work may contribute clarify some advantages non-extensive statistics diagnostics, but physical interpretation physics remains not fully clarified, requires further research.