Itens enumerados personalizados

Question

Quero escrever a seguir no meu látex. Por favor me ajude.

\documentclass[12pt,oneside,a4paper]{report}
\pagestyle{plain}
\usepackage{enumerate}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{setspace}
\usepackage{bm}
\usepackage{mathdesign}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{glossaries}
\usepackage{enumitem}
\makeglossaries
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{defn}{Definition}[section]
\newtheorem{remk}{Remark}[section]
\newtheorem{assump}{Assumptions}[section]
\numberwithin{equation}{section}
\setlength{\topmargin}{-.7in}
\setlength{\textheight}{9.5in}
\setlength{\oddsidemargin}{-.3in}
\setlength{\textwidth}{7in}
\renewcommand{\qedsymbol}{$\blacksquare$}
\begin{document}\begin{theorem}
If the $(k\times 1)$ vector $\bm{x}$ is distributed normally with mean vector $\bm{\mu}$ and variance-covariance matrix $\bm{I}_k$, then
\begin{enumerate}[(i).]
\item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}]=\bm{\mu}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})]$,
\item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}\bm{x}']=\bm{I}_{k}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})]+\bm{\mu}\bm{\mu}'\mathbb{E}[\phi(\chi^{2}_{(k+4,\Delta)})]$
\end{enumerate}
where $\Delta=\frac{1}{2}\bm{\mu}'\bm{\mu}$ is the noncentrality parameter.
\end{theorem}
 \begin{assump}[Regularity Conditions]
\begin{enumerate}[start=0,label={(\bfseries R\arabic*):}]
\begin{enumerate}
\item The pdfs are distinct.
\item The pdfs have common support for all $\theta$.
\end{enumerate}
\end{assump}
\end{document}

Answer 1

Sem mais informações, isso é um começo... (não fiz o ambiente do teorema em torno da enumeração)

Oenumitempackage é a chave para fácil personalização de listas de itemização/enumeração. Ele fornece os meios para usar um valor inicial ( start=0) e a label=....opção.

enumitempodem ser usados ​​juntos oucomo enumerateusando a shortlabelsopção.

\documentclass{article}
\usepackage{enumerate}
\usepackage[shortlabels]{enumitem}

\begin{document}

% Traditional style
\begin{enumerate}[a)] 
\item This is
\item an easy
\item customization of standard enumerate
\end{enumerate}


\begin{enumerate}[start=0,label={(\bfseries R\arabic*):}]
\item This is
\item an easy
\item customization of enumerate
\end{enumerate}
\end{document} 

Answer 2

Como ainda existem alguns problemas com a colocação dos rótulos, proponho uma variante que se parece mais com a imagem do post do OP. Substituí amsthmpor ntheorem, que tem um breakestilo de teorema e escreve o argumento opcional dos teoremas em negrito se \theoremname estiver em negrito.

O carregamento mathdesignnão adiantou nada, pois nenhuma fonte foi escolhida como opção. Eu adicionei charter.

\documentclass[12pt,oneside,a4paper]{report}
\pagestyle{plain}
\usepackage{mathtools}
\usepackage{graphicx}
\usepackage{setspace}
\usepackage{bm}
\usepackage[charter]{mathdesign}
\usepackage[shortlabels]{enumitem}

%\usepackage{amssymb}
%\usepackage{amsthm}
%\newtheorem{theorem}{Theorem}[section]
%\newtheorem{corollary}{Corollary}[section]
%\newtheorem{lemma}{Lemma}[section]
%\newtheorem{defn}{Definition}[section]
%\newtheorem{remk}{Remark}[section]
%\newtheorem{assump}{Assumptions}[section]
%\renewcommand{\qedsymbol}{$\blacksquare$}

  \usepackage[thmmarks, amsmath, thref]{ntheorem}

 \theoremstyle{plain}
 \theoremheaderfont{\upshape\bfseries}
 \theorembodyfont{\itshape}
 \theoremseparator{.}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{defn}{Definition}[section]
\newtheorem{remk}{Remark}[section]

\theoremstyle{break}
 \theoremseparator{.\medskip}
\newtheorem{assump}{Assumptions}[section]

 \theoremstyle{nonumberplain}
 \theoremheaderfont{\itshape}
 \theorembodyfont{\upshape}
 \theoremsymbol{\ensuremath{\blacksquare}}
 \newtheorem{proof}{Proof}

\numberwithin{equation}{section}
\setlength{\topmargin}{-.7in}
\setlength{\textheight}{9.5in}
\setlength{\oddsidemargin}{-.3in}
\setlength{\textwidth}{7in}

\begin{document}
\setcounter{chapter}{6}\setcounter{section}{1}
\begin{theorem}
  If the $(k \times 1)$ vector $\bm{x}$ is distributed normally with mean vector $\bm{\mu}$ and variance-covariance matrix $\bm{I}_k$, then
  \begin{enumerate}[(i).]
    \item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}]=\bm{\mu}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})],$

    \item $\mathbb{E}[\phi(\bm{x}'\bm{x})\bm{x}\bm{x}'] = \bm{I}_{k}\mathbb{E}[\phi(\chi^{2}_{(k+2,\Delta)})] + \bm{\mu}\bm{\mu}'\mathbb{E}[\phi(\chi^{2}_{(k+4,\Delta)})],$
  \end{enumerate}
  where $\Delta=\frac{1}{2}\bm{\mu}'\bm{\mu}$ is the noncentrality parameter.
\end{theorem}

\begin{assump}[Regularity Conditions]
  \begin{enumerate}[start=0,label={\upshape(\bfseries R\arabic*):},wide = 0pt, leftmargin = 3em]
    \item The pdfs are distinct; i.e., $ \theta \neq \theta' \Rightarrow f(x_i; \theta) \neq f(x_i; \theta')$. Text text text text text text text text text text text text text text text text text.
    \item The pdfs have common support for all $\theta$.
    \item The point $ \theta_0$ is an interior point of $ \Omega $.
  \end{enumerate}
\end{assump}
\end{document}